Intro to Factoring

Factor out a GCF

2x + 8x⁴

• 2x( x + 8x³)

• 2( x + 8x⁴)

• x⁴(2 + 8x)

• 2x( 8x³)

Factor out a GCF

• 2( 10n² - n + 16)

• 2( 10n² - n + 8)

• 2n²( 10n² - n + 16)

• 20(n² - 2n - 8)

Solve

2x( x + 10) = 0

• x = 0 , x = 0

• x = 2, x = 5

• x = 0, x = -10

• x = 2, x = -10

Solve.

3x( 2x + 5) = 0

• x = 0, x = 5/2

• x = 3, x = -5/2

• x = 0, x = -5

• x = 0, x = -5/2

What 2 numbers multiply to -15 and add to 2?

• -15 and 1

• -3 and 5

• 3 and - 5

• -3 and -5

Which number is a factor of 21

• 8

• 9

• 6

• 3

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor using GCF or monomial factoring:

2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(2x + 9)

• cannot be factored