Difference of Squares and GCF

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Unfactorable

x⁴ - 16

• ( 2x - 4) ( 2x + 4)

• ( x² - 4) ( x² + 4)

• ( x² - 8) ( x² + 8)

• ( x - 4) ( x + 4)

4x² - 64y²

• Unfactorable

• ( 2x - 32y) (2 x + 32y)

• ( 2x - 8y) (2 x - 8y)

• ( 2x - 8y) (2 x + 8y)

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x + 7y³)

• ( 3x - 7y³) (3x - 7y³)

• Unfactorable

Factor the Polynomial:

121r² - 64t²

• (11r + 8t)(11r - 8t)

• (11r - 8t)(11r - 8t)

• (11r + 8t)(11r + 8t)

• Unfactorable

Factor by using GCF:
10x² + 15x-5

• 25(10x³+45x-15)
• 5(2x³ + 3x²-x)
• x(10x³+15x-5)
• 5(2x²+3x-1)

Factor

3x² - 75

• 3( x + 5 ) ( x - 5 )

• Does not factor (prime)

• ( x + 5 ) ( x - 5 )

• 3( x - 5 ) ( x - 5 )

Factor:

5x² - 45

• 5( x - 3) ( x + 3)

• 5( x + 3) ( x + 3)

• Does not factor (prime)

• ( x - 3) ( x + 3)

36m² - 9
(Check for a GCF)

• (6m + 3)(6m - 3)
• 9(4m² - 1)
• 9(2m - 1)(2m + 1)
• Not Factorable

Factor completely. (Hint: Factor out GCF first.)

18x² - 50

• 2 ( 9x² - 25 )

• ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x + 5 ) ( 3x - 5 )

• 2 ( 3x - 5 ) ( 3x - 5 )

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3