Sumner Factoring Polynomials

Trinomials

100

x²+2x-35

What is (x+7)(x-5)

200

x²-12x+32

What is (x-8)(x-4)

300

x²+4x+3

What is (x+3)(x+1)

400

x²-2x-24

What is (x-6)(x+4)

500

x²-4x-21

What is (x-7)(x+3)

Special Products

100

x²-1

What is (x+1)(x-1)

200

9x²-49

What is (3x+7)(3x-7)

300

121-x²

What is (11-x)(11+x)

400

x²+6x+9

What is (x+3)(x+3)

500

4x²+81

What is prime

GCF

100

10x³-15x²

What is 5x²(2x-3)

200

18x⁶-6x²+3x

What is 3x(6x⁵-2x+1)

300

-3x⁴+21x³

What is 3x³(-1x+7)

400

4x³-144x

What is 4x(1x²-36) = 4x(x-6)(x+6)

500

5x³-25x²-30x

What is 5x(1x²-5x-6) = 5x (x-6)(x+1)

Grouping

100

2bx+2x-2by-2y

What is 2x(b+1)-2y(b+1) = (b+1)(2x-2y)

200

2xy+8y-9x-36

What is 2y(x+4)-9(4+x) = (2y-9)(x+4)

300

x²-y+xy-x

What is x(x-1)+y(-1+x) = (x+y)(x-1)

400

10a³ - 25a² -2a +5 

What is 5a²(2a - 5)-1(2a - 5) = (5a²-1)(2a-5)

500

7y+xy-9x-63

What is y(7+x)-9(x+7) = (y-9)(x+7)

Misc.

100

Factor 2x³-16

What is 2(x³-8) = 2(x-2)(x²+2x+4)

200

Factor 12x²+11x+2

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

300

Factor x²+8r-r²-16

What is (x-r+4)(x+r-4)

400

Solve by grouping q²+9q+rq+9r

What is q(q+9)+r(q+9) = (q+r)(q+9)

500

Solve by special products x²-10x-25

What is Prime