4.3 factoring and fraction review for identities

Which of the following polynomials is a difference of two squares?

• (x - 4) (x - 4)

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CCSS.HSA.APR.C.4

Factor x² – 16.

• (x + 2)(x – 8)
• (x – 4)(x – 4)
• (x + 4)(x + 4)
• (x + 4)(x – 4)

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CCSS.HSA.APR.C.4

Factor

x² - 25

• (x + 5) (x - 5)

• (x - 5) (x - 5)

• (x + 5) (x + 5)

• Does not factor (prime)

Tags

CCSS.HSA.APR.C.4

Factor 4x² - 9

• (4x-9)(4x+9)

• (2x-3)(2x+3)

• 2x-3

• (2x-4.5)(2x+4.5)

Tags

CCSS.HSA.APR.C.4

Factor 3x² - 75

• 3(x + 5) (x - 5) 

• Prime
• (x + 5 ) (x - 5) 

• 3(x - 5) (x - 5) 

Tags

CCSS.HSA.APR.C.4

r⁴ - q⁴

• (r² + q²) (r² - q²)
• (r² - q²) (r² - q²)
• (r + q) (r - q)
• Can't factor using Diff. of Squares

Tags

CCSS.HSA.APR.C.4

Mathematical Equivalence

ON

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CCSS.HSA.APR.C.4

a² - b² ​ can be factored into (a + b)​ (a)  

• (a - b)
• (a + b)
• none of these

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CCSS.HSA.APR.C.4

1 - a² is a difference of squares.

• True
• False

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CCSS.HSA.APR.C.4

1 - a² factors to

• (1 - a)(1 + a)

• (1 - a)(1 - a)

• (1 + a)²

• a(1 - a)

Tags

CCSS.HSA.APR.C.4