FACTORING POLYNOMIALS

Factoring 1

100

Factor into two binomials: x²+9x+14

(x+7)(x+2)

200

Factor into two binomials: x²-9x+20

(x-4)(x-5)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: x²-11x-28

NP

500

Factor into two binomials: x²-x-56

(x-8)(x+7)

Factoring 2

100

Factor Completely:  3x²+30x+48

3(x+2)(x+8)

200

Factor Completely:  5x²-10x-40

5(x-4)(x+2)

300

Factor Completely:  4x³-24x²-32x

4x(x²-6x-8)

400

Factor Completely:  2x²+10x-168

2(x+12)(x-7)

500

Factor Completely:  3x²-30x-117

3(x-13)(x+3)

Factoring 3

100

Factor Completely: 2x²+11x+14

(2x+7)(x+2)

200

Factor Completely: 6x²-13x-5

(3x+1)(2x-5)

300

Factor Completely: 10x²-9x-9

(5x+3)(2x-3)

400

Factor Completely: 16x²+22x-3

(8x-1)(2x+3)

500

Factor Completely: 2x²-21x-27

NP

Factoring 4

100

Factor Completely:  15x²+40x+25

5(x+1)(3x+5)

200

Factor Completely:  6x²-26x+28

2(x-2)(3x-7)

300

Factor Completely:  18x²+15x-18

3(2x+3)(3x-2)

400

Factor Completely:  36x³-15x²-6x

3x(4x+1)(3x-2)

500

Factor Completely:  64x⁴+88x³-12x²

4x²(8x-1)(2x+3)

MIXED

100

1/2x²-9x-40

(x-8)(x-10)

200

Factor Completely:  -x²+3x+154

-(x-14)(x+11)

300

Factor Completely:  -2x²+12x+54

-2(x+3)(x-9)

400

Factor Completely:  -6x²-33x-27

-3(2x+9)(x+1)

500

Factor Completely:  -21x⁶+14x⁵+35x⁴

-7x⁴(3x-5)(x+1)