Factoring Review

Complete the factoring.

5x² - 40x will factor to 5x( __ )

• x - 8

• 8 - x

• x² - 8

• 8 - x²

Complete the factoring.

7x²y⁵ + 56x²y⁴ is factored to 7x²y⁴ ( __ )

• y + 8

• 7y + 8x

• y + 8x²

• x²y + 8

Find the greatest common factor:

-r⁹s⁵ and -rs⁴

• r⁹s⁵

• s⁴

• rs⁴

• r⁹s⁴

Factor by grouping:

20a³ -25a²b + 8ab² -10b³

• (5a² + 2b²) (4a - 5b)

• (5a² + 2b)(4a - 5b)

• (5a² - 2b²)(4a + 5b)

• (20a² +2b²)(a - 5b)

Complete the factoring:

x² - 12x + 32 is factored into (x-8)(___)

• x - 4

• x + 4

• x² + 8

• 8 - x

Complete the factoring:

x² - 2x - 63 factors to (x - 9) ( ___ )

• 9 - x

• x - 7

• x + 7

• x² + 9

Factor Completely:

x² + 3x - 28

• (x - 7)(x - 4)

• (x - 7)(x + 4)

• (x + 7)(x - 4)

• ( x + 7)(x + 4)

Factor Completely:

x⁴ + 1

• (x +1) (x - 1)

• Prime

• (x² + 1)(x² - 1)

• (x² +1)(x² + 1)

The polynomial 10x³+35x² - 4x -14 is partially factored by grouping.

5x² (_____) - 2(_____)

What is the common factor that is missing from both sets of parenthesis?

• -2x - 7

• 2x + 7

• -2x² +7

• 2x² + 7

Which expressions create a difference of squares?

(Check TWO options)

• m + 9

• m + 9

• m - 3

• m - 36

• m + 3