Factor Polynomials GCF Trinomial Difference of Squares

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor: 
x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Factor, if possible: 
64x²-16x+1

• Not factorable.

• (32x-1)²

• (8x+1)²

• (8x-1)²

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Which one is false about the difference of two squares?

• We can factor because there is addition sign.

• We can factor because there is a perfect squared number (Example: x², 25, 49)

• Formula: a² - b² = (a + b) (a - b)

• We can factor because there is minus sign.

Factor Completely: x²-17x+72

• (x-9)(x+8)

• (x-9)(x-8)

• x(x-3)

• (x+9)(x+8)

Fully Factor the Following (DOTS)

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36

• 4y² + 10y + 25

• x² + 16x + 16

• 9a² - 12a + 4

Which of the following is NOT a perfect square trinomial?

• x² – 16x + 64 

• x² – 10x + 20 

• x² – 28x + 196 

• x² – 24x + 144