FACTORING POLYNOMIALS

Factoring Trinomials (a=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 Trinomials (a!=1)

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)

Difference of Squares

100

Factor Completely: 

y^2-36

(y-6)(y+6)

200

Factor Completely: 

x^2-144

(x-12)(x+12)

300

Factor Completely: 

81-b^2

 (9-b)(9+b) 

OR

-(b+9)(b-9)

400

Factor Completely: 

(45x^2-5y^2)

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

500

Factor Completely: 

x^8-1

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

Factoring Trinomials (Mixed)

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

Factor Completely:  -x²+3x+154

-(x-14)(x+11)

200

Factor Completely:  -2x²+12x+54

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

300

Factor Completely:  

150a^2-600

30(a-2)(a+2)

400

Factor completely:

\frac1{2}x^2-9x-40

\frac{1}{2}(x-8)(x-10)

500

Factor Completely:  -21x⁶+14x⁵+35x⁴

-7x⁴(3x-5)(x+1)