1P Factoring Polynomials

Factor completely:

81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor completely:

x⁴-9x²

Hint: Factor GCF first.

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Factor completely:

25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

Which of the following is a difference of perfect squares?

• x² - 18
• 4x² + 36 
• 9x² - 100
• x² + 4

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

x² - 25

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

4x² - 64y²

• Prime
• ( 2x - 32y) (2 x + 32y) 
• ( 2x - 8y) (2 x - 8y) 
• ( 2x - 8y) (2 x + 8y)