Example 1: Factorize the quadratic expression: x2 -8x -9
Let's rewrite this expression as: x2 -8x -9
The middle term needs to be split into two terms whose product is -9x2 while the sum remains -8x
x2 - 9x + 1x -9
= x(x - 9) + 1 (x - 9)
= (x - 9) (x + 1)
Example 2: Factorize the quadratic expression: x2 +13x -168
Let's rewrite this expression as: x2 +13x -168
The middle term needs to be split into two terms whose product is -168x2 while the sum remains +13x
x2 + 21x - 8x -168
= x(x + 21) - 8 (x + 21)
= (x + 21) (x - 8)
Example 3: Factorize the quadratic expression: x2 +3x -40
Let's rewrite this expression as: x2 +3x -40
The middle term needs to be split into two terms whose product is -40x2 while the sum remains +3x
x2 + 8x - 5x -40
= x(x + 8) - 5 (x + 8)
= (x + 8) (x - 5)
Example 4: Factorize the quadratic expression: x2 +5x -300
Let's rewrite this expression as: x2 +5x -300
The middle term needs to be split into two terms whose product is -300x2 while the sum remains +5x
x2 - 15x + 20x -300
= x(x - 15) + 20 (x - 15)
= (x - 15) (x + 20)
Example 5: Factorize the quadratic expression: x2 +32x +240
Let's rewrite this expression as: x2 +32x +240
The middle term needs to be split into two terms whose product is +240x2 while the sum remains +32x
x2 + 20x + 12x +240
= x(x + 20) + 12 (x + 20)
= (x + 20) (x + 12)
Example 6: Factorize the quadratic expression: x2 -15x -216
Let's rewrite this expression as: x2 -15x -216
The middle term needs to be split into two terms whose product is -216x2 while the sum remains -15x
x2 - 24x + 9x -216
= x(x - 24) + 9 (x - 24)
= (x - 24) (x + 9)
Example 7: Factorize the quadratic expression: x2 -39x +380
Let's rewrite this expression as: x2 -39x +380
The middle term needs to be split into two terms whose product is +380x2 while the sum remains -39x
x2 - 20x - 19x +380
= x(x - 20) - 19 (x - 20)
= (x - 20) (x - 19)
Example 8: Factorize the quadratic expression: x2 +22x +85
Let's rewrite this expression as: x2 +22x +85
The middle term needs to be split into two terms whose product is +85x2 while the sum remains +22x
x2 + 5x + 17x +85
= x(x + 5) + 17 (x + 5)
= (x + 5) (x + 17)
Example 9: Factorize the quadratic expression: x2 -13x -230
Let's rewrite this expression as: x2 -13x -230
The middle term needs to be split into two terms whose product is -230x2 while the sum remains -13x
x2 - 23x + 10x -230
= x(x - 23) + 10 (x - 23)
= (x - 23) (x + 10)
Example 10: Factorize the quadratic expression: x2 -15x -76
Let's rewrite this expression as: x2 -15x -76
The middle term needs to be split into two terms whose product is -76x2 while the sum remains -15x
x2 - 19x + 4x -76
= x(x - 19) + 4 (x - 19)
= (x - 19) (x + 4)
Example 11: Factorize the quadratic expression: x2 -17x +16
Let's rewrite this expression as: x2 -17x +16
The middle term needs to be split into two terms whose product is +16x2 while the sum remains -17x
x2 - 16x - 1x +16
= x(x - 16) - 1 (x - 16)
= (x - 16) (x - 1)
Example 12: Factorize the quadratic expression: x2 -21x +90
Let's rewrite this expression as: x2 -21x +90
The middle term needs to be split into two terms whose product is +90x2 while the sum remains -21x
x2 - 15x - 6x +90
= x(x - 15) - 6 (x - 15)
= (x - 15) (x - 6)
Example 13: Factorize the quadratic expression: x2 -7x -170
Let's rewrite this expression as: x2 -7x -170
The middle term needs to be split into two terms whose product is -170x2 while the sum remains -7x
x2 + 10x - 17x -170
= x(x + 10) - 17 (x + 10)
= (x + 10) (x - 17)
Example 14: Factorize the quadratic expression: x2 +7x -78
Let's rewrite this expression as: x2 +7x -78
The middle term needs to be split into two terms whose product is -78x2 while the sum remains +7x
x2 + 13x - 6x -78
= x(x + 13) - 6 (x + 13)
= (x + 13) (x - 6)
Example 15: Factorize the quadratic expression: x2 -44x +483
Let's rewrite this expression as: x2 -44x +483
The middle term needs to be split into two terms whose product is +483x2 while the sum remains -44x
x2 - 21x - 23x +483
= x(x - 21) - 23 (x - 21)
= (x - 21) (x - 23)
Example 16: Factorize the quadratic expression: x2 -6x -247
Let's rewrite this expression as: x2 -6x -247
The middle term needs to be split into two terms whose product is -247x2 while the sum remains -6x
x2 - 19x + 13x -247
= x(x - 19) + 13 (x - 19)
= (x - 19) (x + 13)
Example 17: Factorize the quadratic expression: x2 -14x -32
Let's rewrite this expression as: x2 -14x -32
The middle term needs to be split into two terms whose product is -32x2 while the sum remains -14x
x2 + 2x - 16x -32
= x(x + 2) - 16 (x + 2)
= (x + 2) (x - 16)
Example 18: Factorize the quadratic expression: x2 -8x -384
Let's rewrite this expression as: x2 -8x -384
The middle term needs to be split into two terms whose product is -384x2 while the sum remains -8x
x2 + 16x - 24x -384
= x(x + 16) - 24 (x + 16)
= (x + 16) (x - 24)
Example 19: Factorize the quadratic expression: x2 -10x -119
Let's rewrite this expression as: x2 -10x -119
The middle term needs to be split into two terms whose product is -119x2 while the sum remains -10x
x2 + 7x - 17x -119
= x(x + 7) - 17 (x + 7)
= (x + 7) (x - 17)
Example 20: Factorize the quadratic expression: x2 -9x -10
Let's rewrite this expression as: x2 -9x -10
The middle term needs to be split into two terms whose product is -10x2 while the sum remains -9x
x2 + 1x - 10x -10
= x(x + 1) - 10 (x + 1)
= (x + 1) (x - 10)
Example 21: Factorize the quadratic expression: x2 -25x +66
Let's rewrite this expression as: x2 -25x +66
The middle term needs to be split into two terms whose product is +66x2 while the sum remains -25x
x2 - 22x - 3x +66
= x(x - 22) - 3 (x - 22)
= (x - 22) (x - 3)
Example 22: Factorize the quadratic expression: x2 +27x +140
Let's rewrite this expression as: x2 +27x +140
The middle term needs to be split into two terms whose product is +140x2 while the sum remains +27x
x2 + 7x + 20x +140
= x(x + 7) + 20 (x + 7)
= (x + 7) (x + 20)
Example 23: Factorize the quadratic expression: x2 -6x -72
Let's rewrite this expression as: x2 -6x -72
The middle term needs to be split into two terms whose product is -72x2 while the sum remains -6x
x2 + 6x - 12x -72
= x(x + 6) - 12 (x + 6)
= (x + 6) (x - 12)
Example 24: Factorize the quadratic expression: x2 -7x -30
Let's rewrite this expression as: x2 -7x -30
The middle term needs to be split into two terms whose product is -30x2 while the sum remains -7x
x2 - 10x + 3x -30
= x(x - 10) + 3 (x - 10)
= (x - 10) (x + 3)
Example 25: Factorize the quadratic expression: x2 +13x -198
Let's rewrite this expression as: x2 +13x -198
The middle term needs to be split into two terms whose product is -198x2 while the sum remains +13x
x2 + 22x - 9x -198
= x(x + 22) - 9 (x + 22)
= (x + 22) (x - 9)
Example 26: Factorize the quadratic expression: x2 +32x +252
Let's rewrite this expression as: x2 +32x +252
The middle term needs to be split into two terms whose product is +252x2 while the sum remains +32x
x2 + 18x + 14x +252
= x(x + 18) + 14 (x + 18)
= (x + 18) (x + 14)
Example 27: Factorize the quadratic expression: x2 +17x -38
Let's rewrite this expression as: x2 +17x -38
The middle term needs to be split into two terms whose product is -38x2 while the sum remains +17x
x2 + 19x - 2x -38
= x(x + 19) - 2 (x + 19)
= (x + 19) (x - 2)
Example 28: Factorize the quadratic expression: x2 +2x -48
Let's rewrite this expression as: x2 +2x -48
The middle term needs to be split into two terms whose product is -48x2 while the sum remains +2x
x2 - 6x + 8x -48
= x(x - 6) + 8 (x - 6)
= (x - 6) (x + 8)
Example 29: Factorize the quadratic expression: x2 -20x -21
Let's rewrite this expression as: x2 -20x -21
The middle term needs to be split into two terms whose product is -21x2 while the sum remains -20x
x2 - 21x + 1x -21
= x(x - 21) + 1 (x - 21)
= (x - 21) (x + 1)
Example 30: Factorize the quadratic expression: x2 +28x +195
Let's rewrite this expression as: x2 +28x +195
The middle term needs to be split into two terms whose product is +195x2 while the sum remains +28x
x2 + 13x + 15x +195
= x(x + 13) + 15 (x + 13)
= (x + 13) (x + 15)
Example 31: Factorize the quadratic expression: x2 -21x -22
Let's rewrite this expression as: x2 -21x -22
The middle term needs to be split into two terms whose product is -22x2 while the sum remains -21x
x2 - 22x + 1x -22
= x(x - 22) + 1 (x - 22)
= (x - 22) (x + 1)
Example 32: Factorize the quadratic expression: x2 +24x +63
Let's rewrite this expression as: x2 +24x +63
The middle term needs to be split into two terms whose product is +63x2 while the sum remains +24x
x2 + 3x + 21x +63
= x(x + 3) + 21 (x + 3)
= (x + 3) (x + 21)
Example 33: Factorize the quadratic expression: x2 -10x -11
Let's rewrite this expression as: x2 -10x -11
The middle term needs to be split into two terms whose product is -11x2 while the sum remains -10x
x2 + 1x - 11x -11
= x(x + 1) - 11 (x + 1)
= (x + 1) (x - 11)
Example 34: Factorize the quadratic expression: x2 -29x +204
Let's rewrite this expression as: x2 -29x +204
The middle term needs to be split into two terms whose product is +204x2 while the sum remains -29x
x2 - 12x - 17x +204
= x(x - 12) - 17 (x - 12)
= (x - 12) (x - 17)
Example 35: Factorize the quadratic expression: x2 -6x -391
Let's rewrite this expression as: x2 -6x -391
The middle term needs to be split into two terms whose product is -391x2 while the sum remains -6x
x2 + 17x - 23x -391
= x(x + 17) - 23 (x + 17)
= (x + 17) (x - 23)
Example 36: Factorize the quadratic expression: x2 -28x +96
Let's rewrite this expression as: x2 -28x +96
The middle term needs to be split into two terms whose product is +96x2 while the sum remains -28x
x2 - 24x - 4x +96
= x(x - 24) - 4 (x - 24)
= (x - 24) (x - 4)
Example 37: Factorize the quadratic expression: x2 +20x +19
Let's rewrite this expression as: x2 +20x +19
The middle term needs to be split into two terms whose product is +19x2 while the sum remains +20x
x2 + 19x + 1x +19
= x(x + 19) + 1 (x + 19)
= (x + 19) (x + 1)
Example 38: Factorize the quadratic expression: x2 -32x +240
Let's rewrite this expression as: x2 -32x +240
The middle term needs to be split into two terms whose product is +240x2 while the sum remains -32x
x2 - 20x - 12x +240
= x(x - 20) - 12 (x - 20)
= (x - 20) (x - 12)
Example 39: Factorize the quadratic expression: x2 +13x -30
Let's rewrite this expression as: x2 +13x -30
The middle term needs to be split into two terms whose product is -30x2 while the sum remains +13x
x2 + 15x - 2x -30
= x(x + 15) - 2 (x + 15)
= (x + 15) (x - 2)
Example 40: Factorize the quadratic expression: x2 +3x -504
Let's rewrite this expression as: x2 +3x -504
The middle term needs to be split into two terms whose product is -504x2 while the sum remains +3x
x2 - 21x + 24x -504
= x(x - 21) + 24 (x - 21)
= (x - 21) (x + 24)
Example 41: Factorize the quadratic expression: x2 -11x -276
Let's rewrite this expression as: x2 -11x -276
The middle term needs to be split into two terms whose product is -276x2 while the sum remains -11x
x2 + 12x - 23x -276
= x(x + 12) - 23 (x + 12)
= (x + 12) (x - 23)
Example 42: Factorize the quadratic expression: x2 +7x -18
Let's rewrite this expression as: x2 +7x -18
The middle term needs to be split into two terms whose product is -18x2 while the sum remains +7x
x2 + 9x - 2x -18
= x(x + 9) - 2 (x + 9)
= (x + 9) (x - 2)
Example 43: Factorize the quadratic expression: x2 -29x +168
Let's rewrite this expression as: x2 -29x +168
The middle term needs to be split into two terms whose product is +168x2 while the sum remains -29x
x2 - 21x - 8x +168
= x(x - 21) - 8 (x - 21)
= (x - 21) (x - 8)
Example 44: Factorize the quadratic expression: x2 -22x +72
Let's rewrite this expression as: x2 -22x +72
The middle term needs to be split into two terms whose product is +72x2 while the sum remains -22x
x2 - 4x - 18x +72
= x(x - 4) - 18 (x - 4)
= (x - 4) (x - 18)
Example 45: Factorize the quadratic expression: x2 -9x +8
Let's rewrite this expression as: x2 -9x +8
The middle term needs to be split into two terms whose product is +8x2 while the sum remains -9x
x2 - 8x - 1x +8
= x(x - 8) - 1 (x - 8)
= (x - 8) (x - 1)
Example 46: Factorize the quadratic expression: x2 +4x +4
Let's rewrite this expression as: x2 +4x +4
The middle term needs to be split into two terms whose product is +4x2 while the sum remains +4x
x2 + 2x + 2x +4
= x(x + 2) + 2 (x + 2)
= (x + 2) (x + 2)
Example 47: Factorize the quadratic expression: x2 -15x -216
Let's rewrite this expression as: x2 -15x -216
The middle term needs to be split into two terms whose product is -216x2 while the sum remains -15x
x2 - 24x + 9x -216
= x(x - 24) + 9 (x - 24)
= (x - 24) (x + 9)
Example 48: Factorize the quadratic expression: x2 +32x +240
Let's rewrite this expression as: x2 +32x +240
The middle term needs to be split into two terms whose product is +240x2 while the sum remains +32x
x2 + 20x + 12x +240
= x(x + 20) + 12 (x + 20)
= (x + 20) (x + 12)
Example 49: Factorize the quadratic expression: x2 -20x +64
Let's rewrite this expression as: x2 -20x +64
The middle term needs to be split into two terms whose product is +64x2 while the sum remains -20x
x2 - 4x - 16x +64
= x(x - 4) - 16 (x - 4)
= (x - 4) (x - 16)
Example 50: Factorize the quadratic expression: x2 -49x +600
Let's rewrite this expression as: x2 -49x +600
The middle term needs to be split into two terms whose product is +600x2 while the sum remains -49x
x2 - 24x - 25x +600
= x(x - 24) - 25 (x - 24)
= (x - 24) (x - 25)
Example 51: Factorize the quadratic expression: x2 -12x -13
Let's rewrite this expression as: x2 -12x -13
The middle term needs to be split into two terms whose product is -13x2 while the sum remains -12x
x2 - 13x + 1x -13
= x(x - 13) + 1 (x - 13)
= (x - 13) (x + 1)
Example 52: Factorize the quadratic expression: x2 +23x +42
Let's rewrite this expression as: x2 +23x +42
The middle term needs to be split into two terms whose product is +42x2 while the sum remains +23x
x2 + 2x + 21x +42
= x(x + 2) + 21 (x + 2)
= (x + 2) (x + 21)
Example 53: Factorize the quadratic expression: x2 +11x -42
Let's rewrite this expression as: x2 +11x -42
The middle term needs to be split into two terms whose product is -42x2 while the sum remains +11x
x2 + 14x - 3x -42
= x(x + 14) - 3 (x + 14)
= (x + 14) (x - 3)
Example 54: Factorize the quadratic expression: x2 -23x +120
Let's rewrite this expression as: x2 -23x +120
The middle term needs to be split into two terms whose product is +120x2 while the sum remains -23x
x2 - 15x - 8x +120
= x(x - 15) - 8 (x - 15)
= (x - 15) (x - 8)
Example 55: Factorize the quadratic expression: x2 +16x +63
Let's rewrite this expression as: x2 +16x +63
The middle term needs to be split into two terms whose product is +63x2 while the sum remains +16x
x2 + 9x + 7x +63
= x(x + 9) + 7 (x + 9)
= (x + 9) (x + 7)
Example 56: Factorize the quadratic expression: x2 +17x +60
Let's rewrite this expression as: x2 +17x +60
The middle term needs to be split into two terms whose product is +60x2 while the sum remains +17x
x2 + 5x + 12x +60
= x(x + 5) + 12 (x + 5)
= (x + 5) (x + 12)
Example 57: Factorize the quadratic expression: x2 -27x +180
Let's rewrite this expression as: x2 -27x +180
The middle term needs to be split into two terms whose product is +180x2 while the sum remains -27x
x2 - 12x - 15x +180
= x(x - 12) - 15 (x - 12)
= (x - 12) (x - 15)
Example 58: Factorize the quadratic expression: x2 +17x +66
Let's rewrite this expression as: x2 +17x +66
The middle term needs to be split into two terms whose product is +66x2 while the sum remains +17x
x2 + 6x + 11x +66
= x(x + 6) + 11 (x + 6)
= (x + 6) (x + 11)
Example 59: Factorize the quadratic expression: x2 -2x -3
Let's rewrite this expression as: x2 -2x -3
The middle term needs to be split into two terms whose product is -3x2 while the sum remains -2x
x2 + 1x - 3x -3
= x(x + 1) - 3 (x + 1)
= (x + 1) (x - 3)
Example 60: Factorize the quadratic expression: x2 +10x -336
Let's rewrite this expression as: x2 +10x -336
The middle term needs to be split into two terms whose product is -336x2 while the sum remains +10x
x2 + 24x - 14x -336
= x(x + 24) - 14 (x + 24)
= (x + 24) (x - 14)
Example 61: Factorize the quadratic expression: x2 -25x +114
Let's rewrite this expression as: x2 -25x +114
The middle term needs to be split into two terms whose product is +114x2 while the sum remains -25x
x2 - 19x - 6x +114
= x(x - 19) - 6 (x - 19)
= (x - 19) (x - 6)
Example 62: Factorize the quadratic expression: x2 +12x -189
Let's rewrite this expression as: x2 +12x -189
The middle term needs to be split into two terms whose product is -189x2 while the sum remains +12x
x2 + 21x - 9x -189
= x(x + 21) - 9 (x + 21)
= (x + 21) (x - 9)
Example 63: Factorize the quadratic expression: x2 -8x -128
Let's rewrite this expression as: x2 -8x -128
The middle term needs to be split into two terms whose product is -128x2 while the sum remains -8x
x2 + 8x - 16x -128
= x(x + 8) - 16 (x + 8)
= (x + 8) (x - 16)
Example 64: Factorize the quadratic expression: x2 -12x -325
Let's rewrite this expression as: x2 -12x -325
The middle term needs to be split into two terms whose product is -325x2 while the sum remains -12x
x2 - 25x + 13x -325
= x(x - 25) + 13 (x - 25)
= (x - 25) (x + 13)
Example 65: Factorize the quadratic expression: x2 +10x +9
Let's rewrite this expression as: x2 +10x +9
The middle term needs to be split into two terms whose product is +9x2 while the sum remains +10x
x2 + 9x + 1x +9
= x(x + 9) + 1 (x + 9)
= (x + 9) (x + 1)
Example 66: Factorize the quadratic expression: x2 -3x -40
Let's rewrite this expression as: x2 -3x -40
The middle term needs to be split into two terms whose product is -40x2 while the sum remains -3x
x2 - 8x + 5x -40
= x(x - 8) + 5 (x - 8)
= (x - 8) (x + 5)
Example 67: Factorize the quadratic expression: x2 +40x +391
Let's rewrite this expression as: x2 +40x +391
The middle term needs to be split into two terms whose product is +391x2 while the sum remains +40x
x2 + 23x + 17x +391
= x(x + 23) + 17 (x + 23)
= (x + 23) (x + 17)
Example 68: Factorize the quadratic expression: x2 -18x +45
Let's rewrite this expression as: x2 -18x +45
The middle term needs to be split into two terms whose product is +45x2 while the sum remains -18x
x2 - 3x - 15x +45
= x(x - 3) - 15 (x - 3)
= (x - 3) (x - 15)
Example 69: Factorize the quadratic expression: x2 +3x -238
Let's rewrite this expression as: x2 +3x -238
The middle term needs to be split into two terms whose product is -238x2 while the sum remains +3x
x2 + 17x - 14x -238
= x(x + 17) - 14 (x + 17)
= (x + 17) (x - 14)
Example 70: Factorize the quadratic expression: x2 +6x -315
Let's rewrite this expression as: x2 +6x -315
The middle term needs to be split into two terms whose product is -315x2 while the sum remains +6x
x2 - 15x + 21x -315
= x(x - 15) + 21 (x - 15)
= (x - 15) (x + 21)
Example 71: Factorize the quadratic expression: x2 -8x -308
Let's rewrite this expression as: x2 -8x -308
The middle term needs to be split into two terms whose product is -308x2 while the sum remains -8x
x2 - 22x + 14x -308
= x(x - 22) + 14 (x - 22)
= (x - 22) (x + 14)
Example 72: Factorize the quadratic expression: x2 +9x -190
Let's rewrite this expression as: x2 +9x -190
The middle term needs to be split into two terms whose product is -190x2 while the sum remains +9x
x2 - 10x + 19x -190
= x(x - 10) + 19 (x - 10)
= (x - 10) (x + 19)
Example 73: Factorize the quadratic expression: x2 -11x -60
Let's rewrite this expression as: x2 -11x -60
The middle term needs to be split into two terms whose product is -60x2 while the sum remains -11x
x2 + 4x - 15x -60
= x(x + 4) - 15 (x + 4)
= (x + 4) (x - 15)
Example 74: Factorize the quadratic expression: x2 +0x -25
Let's rewrite this expression as: x2 +0x -25
The middle term needs to be split into two terms whose product is -25x2 while the sum remains +0x
x2 + 5x - 5x -25
= x(x + 5) - 5 (x + 5)
= (x + 5) (x - 5)
Example 75: Factorize the quadratic expression: x2 +45x +504
Let's rewrite this expression as: x2 +45x +504
The middle term needs to be split into two terms whose product is +504x2 while the sum remains +45x
x2 + 24x + 21x +504
= x(x + 24) + 21 (x + 24)
= (x + 24) (x + 21)
Example 76: Factorize the quadratic expression: x2 +0x -289
Let's rewrite this expression as: x2 +0x -289
The middle term needs to be split into two terms whose product is -289x2 while the sum remains +0x
x2 - 17x + 17x -289
= x(x - 17) + 17 (x - 17)
= (x - 17) (x + 17)
Example 77: Factorize the quadratic expression: x2 -28x +196
Let's rewrite this expression as: x2 -28x +196
The middle term needs to be split into two terms whose product is +196x2 while the sum remains -28x
x2 - 14x - 14x +196
= x(x - 14) - 14 (x - 14)
= (x - 14) (x - 14)
Example 78: Factorize the quadratic expression: x2 -17x -18
Let's rewrite this expression as: x2 -17x -18
The middle term needs to be split into two terms whose product is -18x2 while the sum remains -17x
x2 - 18x + 1x -18
= x(x - 18) + 1 (x - 18)
= (x - 18) (x + 1)
Example 79: Factorize the quadratic expression: x2 -20x -96
Let's rewrite this expression as: x2 -20x -96
The middle term needs to be split into two terms whose product is -96x2 while the sum remains -20x
x2 - 24x + 4x -96
= x(x - 24) + 4 (x - 24)
= (x - 24) (x + 4)
Example 80: Factorize the quadratic expression: x2 +22x +117
Let's rewrite this expression as: x2 +22x +117
The middle term needs to be split into two terms whose product is +117x2 while the sum remains +22x
x2 + 9x + 13x +117
= x(x + 9) + 13 (x + 9)
= (x + 9) (x + 13)
Example 81: Factorize the quadratic expression: x2 -11x -42
Let's rewrite this expression as: x2 -11x -42
The middle term needs to be split into two terms whose product is -42x2 while the sum remains -11x
x2 + 3x - 14x -42
= x(x + 3) - 14 (x + 3)
= (x + 3) (x - 14)
Example 82: Factorize the quadratic expression: x2 -19x +18
Let's rewrite this expression as: x2 -19x +18
The middle term needs to be split into two terms whose product is +18x2 while the sum remains -19x
x2 - 18x - 1x +18
= x(x - 18) - 1 (x - 18)
= (x - 18) (x - 1)
Example 83: Factorize the quadratic expression: x2 -8x -384
Let's rewrite this expression as: x2 -8x -384
The middle term needs to be split into two terms whose product is -384x2 while the sum remains -8x
x2 - 24x + 16x -384
= x(x - 24) + 16 (x - 24)
= (x - 24) (x + 16)
Example 84: Factorize the quadratic expression: x2 +18x -63
Let's rewrite this expression as: x2 +18x -63
The middle term needs to be split into two terms whose product is -63x2 while the sum remains +18x
x2 - 3x + 21x -63
= x(x - 3) + 21 (x - 3)
= (x - 3) (x + 21)
Example 85: Factorize the quadratic expression: x2 -30x +221
Let's rewrite this expression as: x2 -30x +221
The middle term needs to be split into two terms whose product is +221x2 while the sum remains -30x
x2 - 13x - 17x +221
= x(x - 13) - 17 (x - 13)
= (x - 13) (x - 17)
Example 86: Factorize the quadratic expression: x2 +5x -456
Let's rewrite this expression as: x2 +5x -456
The middle term needs to be split into two terms whose product is -456x2 while the sum remains +5x
x2 - 19x + 24x -456
= x(x - 19) + 24 (x - 19)
= (x - 19) (x + 24)
Example 87: Factorize the quadratic expression: x2 -21x +80
Let's rewrite this expression as: x2 -21x +80
The middle term needs to be split into two terms whose product is +80x2 while the sum remains -21x
x2 - 16x - 5x +80
= x(x - 16) - 5 (x - 16)
= (x - 16) (x - 5)
Example 88: Factorize the quadratic expression: x2 -32x +207
Let's rewrite this expression as: x2 -32x +207
The middle term needs to be split into two terms whose product is +207x2 while the sum remains -32x
x2 - 9x - 23x +207
= x(x - 9) - 23 (x - 9)
= (x - 9) (x - 23)
Example 89: Factorize the quadratic expression: x2 +32x +240
Let's rewrite this expression as: x2 +32x +240
The middle term needs to be split into two terms whose product is +240x2 while the sum remains +32x
x2 + 20x + 12x +240
= x(x + 20) + 12 (x + 20)
= (x + 20) (x + 12)
Example 90: Factorize the quadratic expression: x2 -2x -15
Let's rewrite this expression as: x2 -2x -15
The middle term needs to be split into two terms whose product is -15x2 while the sum remains -2x
x2 - 5x + 3x -15
= x(x - 5) + 3 (x - 5)
= (x - 5) (x + 3)
Example 91: Factorize the quadratic expression: x2 -37x +300
Let's rewrite this expression as: x2 -37x +300
The middle term needs to be split into two terms whose product is +300x2 while the sum remains -37x
x2 - 25x - 12x +300
= x(x - 25) - 12 (x - 25)
= (x - 25) (x - 12)
Example 92: Factorize the quadratic expression: x2 -21x +54
Let's rewrite this expression as: x2 -21x +54
The middle term needs to be split into two terms whose product is +54x2 while the sum remains -21x
x2 - 18x - 3x +54
= x(x - 18) - 3 (x - 18)
= (x - 18) (x - 3)
Example 93: Factorize the quadratic expression: x2 +26x +88
Let's rewrite this expression as: x2 +26x +88
The middle term needs to be split into two terms whose product is +88x2 while the sum remains +26x
x2 + 4x + 22x +88
= x(x + 4) + 22 (x + 4)
= (x + 4) (x + 22)
Example 94: Factorize the quadratic expression: x2 -27x +72
Let's rewrite this expression as: x2 -27x +72
The middle term needs to be split into two terms whose product is +72x2 while the sum remains -27x
x2 - 3x - 24x +72
= x(x - 3) - 24 (x - 3)
= (x - 3) (x - 24)
Example 95: Factorize the quadratic expression: x2 -5x -6
Let's rewrite this expression as: x2 -5x -6
The middle term needs to be split into two terms whose product is -6x2 while the sum remains -5x
x2 + 1x - 6x -6
= x(x + 1) - 6 (x + 1)
= (x + 1) (x - 6)
Example 96: Factorize the quadratic expression: x2 +10x -56
Let's rewrite this expression as: x2 +10x -56
The middle term needs to be split into two terms whose product is -56x2 while the sum remains +10x
x2 - 4x + 14x -56
= x(x - 4) + 14 (x - 4)
= (x - 4) (x + 14)
Example 97: Factorize the quadratic expression: x2 +12x +20
Let's rewrite this expression as: x2 +12x +20
The middle term needs to be split into two terms whose product is +20x2 while the sum remains +12x
x2 + 10x + 2x +20
= x(x + 10) + 2 (x + 10)
= (x + 10) (x + 2)
Example 98: Factorize the quadratic expression: x2 -36x +323
Let's rewrite this expression as: x2 -36x +323
The middle term needs to be split into two terms whose product is +323x2 while the sum remains -36x
x2 - 17x - 19x +323
= x(x - 17) - 19 (x - 17)
= (x - 17) (x - 19)
Example 99: Factorize the quadratic expression: x2 +3x +2
Let's rewrite this expression as: x2 +3x +2
The middle term needs to be split into two terms whose product is +2x2 while the sum remains +3x
x2 + 2x + 1x +2
= x(x + 2) + 1 (x + 2)
= (x + 2) (x + 1)
Example 100: Factorize the quadratic expression: x2 +36x +288
Let's rewrite this expression as: x2 +36x +288
The middle term needs to be split into two terms whose product is +288x2 while the sum remains +36x
x2 + 24x + 12x +288
= x(x + 24) + 12 (x + 24)
= (x + 24) (x + 12)