Special Cases of Factoring Polynomials

Which of the following is a perfect square trinomial?

• x² – 4x – 4 
• x² – 6x – 9 
• x² + 6x – 9 
• x² – 4x + 4 

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Which of the following is NOT a perfect square trinomial?

• x² – 16x + 64 
• x² – 10x + 20 
• x² – 28x + 196 
• x² – 24x + 144 

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Factor:
x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

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Factor:
x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

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Factor: 
25x² - 100y²

• ( 5x - 10y) (5xy + 10y) 
• ( 5x - 10y)²
• Prime
• ( 5x - 50y) (5x + 50y) 

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Factor:
x² - 30x + 225

• (x + 15)²
• (x - 15)²
• (x + 25)²
• (x - 25)²

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Factor:

4x²+36x+81

• (4x+81)²

• (2x+9)²

• Prime /

  Not factorable.

• (2x-9)²

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CCSS.HSA.APR.C.4

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

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What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

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