Factoring

GCF

100

3x + 12

What is 3(x + 4) ?

200

4y² - 24y

What is 4y(y - 6) ?

300

16bc³ + 24bc

What is 8bc(2c² + 3) ?

400

9r⁸ - 18r²s - 24rs²

What is 3r(3r⁷ - 6rs - 8s²) ?

500

3a³b²c - 9a²b³c² + 15ab⁴c³

What is 3ab²c(a² - 3abc + 5b²c²) ?

Difference of Squares

100

x² - 36

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

200

25x² - 49

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

300

4h² - 25g²

What is (2h + 5g)(2h - 5g) ?

400

x²y² - 1

What is (xy + 1)(xy - 1) ?

500

64m⁴ - 9n²

What is (8m² + 3n)(8m² - 3n) ?

**Difference of Squares**

100

2n² -72

What is 2(n + 6)(n - 6) ?

200

45x³ - 20x

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

300

8x²y - 32y³

What is 8y(x + 2y)(x - 2y) ?

400

36p³ - 9p

What is 9p(2p + 1)(2p - 1) ?

500

16k³ - 100k

What is 4k(2k + 5)(2k - 5) ?

Factoring Trinomials (a=1)

100

w² + 9w + 18

What is (w + 6)(w - 3)?

200

c² + 4c - 45

What is (c + 9)(c - 5) ?

300

k² - 12k - 64

What is (k - 16)(k + 4) ?

400

x² - 15x + 50

What is (x - 10) (x - 5) ?

500

y² + 13y + 42

What is (y + 6)(y + 7) ?

**Factoring Trinomials (a=1)**

100

4k² + 12k + 8

What is 4(k + 2)(k + 1) ?

200

2x² - 8x - 24

What is 2(x - 6)(x + 2) ?

300

3y² - 15y + 12

What is 3(y - 4)(y - 1) ?

400

3a³ + 30a² + 63a

What is 3a(a + 7)(a + 3) ?

500

5x²y - 15xy - 140y

What is 5y(x - 7)(x + 4) ?