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

18x^6-6x^2+3x

What is 3x(6x^5-2x+1)

300

-3x^4+21x^3

What is 3x^3(-1x+7)

400

4x^3-144x

What is 4x(1x^2-36)

500

5x^3-25x^2-30x

What is 5x(1x^2-5x-6)

Grouping

100

2bx+2x-2by-2y

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

200

2xy-36+8y-9x

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

300

x^2-y+xy-x

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

400

5-2a-25a^2+10a^3

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

500

7y+xy-9x-63

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

????

100

the answer to any problem that is the sum of 2 squares

What is DNF?

200

List the steps to factor a trinomial

What is find the factors of the 3rd term that add or subtract to be the middle term

300

Solve by GCF 7x^3-7x^2-84x

What is 7x(x^2-x-12)

400

Solve by grouping q^2+9q+rq+9r

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

500

Solve by special products x^2-10x+25

What is DNF