Factor Trinomial Squares and Difference of Squares

Is the polynomial a difference of squares and if it is factor the polynomial.

d² - 36

• Is not a difference of squares

• Is a difference of squares;

  (d + 6)(d - 6)

• Is a difference of squares; (d - 6)²

• Is a difference of squares;

  (d + 18)(d - 18)

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

x² + 18x + 81

• (x + 9)(x – 9)

• (x + 18)²

• (x + 9)²

• (x + 6)²

Factor: 
x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Which of the following trinomials is a perfect square trinomial?

• r² - 6r + 36

• 4y² + 10y + 25

• x² + 16x + 16

• 9a² - 12a + 4

Factor, if possible: 
64x²-16x+1

• Not factorable.

• (32x-1)²

• (8x+1)²

• (8x-1)²

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group