Factoring Polynomials

Factoring GCF

100

2x + 6y - 10z

What is 2(x + 3y - 5z)

200

x³ + 5x² + 7x

What is x(x² + 5x + 7)

300

6x⁴ - 9x³ + 24x²

What is 3x²(2x² - 3x + 8)

400

2x(x + 5) + 7(x + 5)

What is (2x + 7)(x + 5)

500

x(x - 1) + y(x - 1) +z(x - 1)

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

ac Method

100

9x² +6x +1

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

200

8m²-10m +3

What is Prime

300

6x² + 17x + 12

What is (2x + 3)(3x +4)

400

8x² - 9x + 1

What is (8x - 1)(x - 1)

500

15x² - 13xy + 2y²

What is (5x - y) (3x - 2y)

Difference of Squares

100

x² - 100

What is (x + 10)(x - 10)

200

25x² - 36

What is (5x + 6)(5x - 6)

300

100x² - 121y²

What is (10x + 11y)(10x - 11y)

400

x⁴ - 81 (This has two steps to complete the factoring.)

What is (x²+9)(x+3)(x-3)

500

16x⁴ - 1

What is (4x²+1)(2x-1)(2x+1)

E-Z Trinomials

100

x² + 10x +25

What is (x+5)(x+5)

200

x² - 2x + 1

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

300

32 + 18r +r²

What is (16+r)(2+r)

400

x² - 10x - 24

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

500

x² + 11x +30

What is (x+5)(x+6)

Factoring by Grouping

100

2ax + 6xc +ba + 3bc

What is (2x+b)(a+3c)

200

6mx - 4m + 3rx -2r

What is (2m+r)(3x-2)

300

2my + 7x + 7m + 2xy

What is (m+x)(2y+7)

400

3ax - 6bx + 8b - 4a

What is (a-2b)(3x-4)

500

2x³ - 5xy² - 2x² y + 5y³

What is (2x² - 5y²)(x-y)