Factoring All Polynomials

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)

What is the first step in factoring this problem?

• List the factors of 9

• Multiply

• Factor out the GCF

• List the factors of 45

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

What is the first step in factoring this problem?

• Multiply

• List the factors of -12

• List the factors of -60

• Factor out the GCF

What is the first step in factoring this problem?

• Multiply

• Factor out the GCF

• List the factors of -5

• List the factors of -15

What is the first step in factoring this problem? 2m² + 11m + 12

• Multiply

• Factor out the GCF

• List the factors of 12

• List the factors of 24

Which problems require you to multiply a * c first? Select all that apply.

• x² + 7x + 12

• 2p² + 11p + 15

• m² - m - 42

• 10x² - 2x + 1

• h2 + 10x + 21

Factor Completely: x⁴-9x²

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Factor Completely: 3x²+15x-72

• x(x+5)

• 3(x+8)(x-3)

• (3x+24)(x-3)

• 3(x-8)(x+3)

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime