Polynomial Factoring Rules

What is the first step in factoring this problem?

x² + x - 6

• Multiply

• List the factors of -6

• Add the factors of -6

• Factor out the GCF

Find the factors of

x² + x - 6

• (x - 6)(x - 9)

• (x + 3)(x + 2)

• (x + 3)(x - 2)

• (x + 2)(x + 4)

What is the first step in factoring this problem?

x² - 5x - 36

• Multiply

• List the factors of -36

• Add the factors of -36

• Factor out the GCF

Find the factors of

x² - 5x - 36

• (x + 4)(x - 9)

• (x - 4)(x + 9)

• (x - 9)(x + 6)

• (x + 4)(x + 9)

Find the factors of

5m² - 45m + 90

• 3(m + 1)(m + 8)

• 5(m - 3)(m - 6)

• 2(m - 7)(m + 3)

• 5(m - 5)(m + 3)

Find the factors of

2b² + 14b - 16

• 2(b - 1)(b + 8)

• 6(b - 1)(b - 5)

• 2(b + 1)(b - 8)

• 2(b - 1)(b - 8)

What is the first step in factoring this problem?

5k² - 18k + 9

• List the factors of 9

• Multiply

• Factor out the GCF

• List the factors of 45

Find the factors of

5k² - 18k + 9

• (5k - 3)(k - 3)

• (3k + 5)(k - 10)

• (2k - 1)(k + 6)

• (5k + 7)(k + 6)

What is the first step in factoring this problem?

3b² + 17b + 20

• Multiply

• List the factors of 20

• List the factors of 60

• Factor out the GCF

Find the factors of

3b² + 17b + 20

• (2b - 5)(b - 7)

• (5b - 7)(b - 2)

• (b + 5)(3b + 4)

• (3b + 5)(b + 4)