Factoring Polynomials

Factors of

100

What are the factors of 12 (not including 1)?

2 x 6

3 x 4

200

What are the factors of 20 (not including 1)?

2 x 10

4 x 5

300

What numbers multiply to get 24 (not including 1)?

2 x 12

3 x 8

4 x 6

400

What are the factors of 36 (not including 1)?

2 x 18

3 x 12

4 x 9

6 x 6

500

What are the factors of 60 (not including 1)?

2 x 30

3 x 20

4 x 15

5 x 12

6 x 10

Greatest Common Factor

100

What is the greatest common factor between 44 and 24?

4

200

What is the greatest common factor between 33 and 88?

11

300

What is the greatest common factor between 54 and 18?

18

400

What is the greatest common factor between 90 and 96?

6

500

What is the greatest common factor between 56 and 42?

14

Factoring Binomials

100

2x² + 28

2x(x + 14)

200

3x⁴ + 9x²

3x²(x² + 3)

300

-16x + 20x³

4x (-4 + 5x²)

400

12x²y - 42xyz

6xy(2x - 7z)

500

27a³b³ + 36a⁴b²

9a³b² (3b + 4a)

Factoring Trinomials

100

a² + 11a + 18

(a + 2)(a + 9)

200

n² + 6n + 8

(n + 2)(n + 4)

300

m² + 2m - 24

(m + 6)(m - 4)

400

k² - 13k + 40

(k - 5)(k - 8)

500

p² + 3p - 18

(p - 3)(p + 6)

Leading Coefficient

100

2v² + 11v + 5

(2v + 1)(v + 5)

200

5n² + 19n + 12

(5n + 4)(n + 3)

300

7a² + 53a + 28

(7a + 4)(a + 7)

400

4x² - 35x + 49

(x - 7)(4x - 7)

500

7x² - 29x + 24

(7x - 8)(x - 3)