[MPM2D] 5.7 Factoring Special Products

Factor:

25x² - 100y²

• ( 5x - 10y) (5x + 10y)

• ( 5x - 10y)²

• Prime

• ( 5x - 50y) (5x + 50y)

Factor:
3x² - 75

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

Factor:
x² + 81

• Not factorable

• ( x - 9 ) ( x + 9 ) 
• ( x + 9 ) ( x + 9 ) 
• ( x - 9 ) ( x - 9 ) 

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36
• 4y² + 10y + 25
• x² + 16x + 16
• 9a² - 12a + 4

Factor:
x² - 30x + 225

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

What is the first step when factoring polynomials?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Which of the following is NOT a perfect square trinomial?

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