Factoring Difference of Squares and Trinomials

The factors of X² +3X + 2 are

• (X+3)(X+2)

• (X+1)(X+2)

• X(X+2)

• (X-1)(X+2)

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

Which of the following is NOT a perfect square trinomial?

• x² – 16x + 64 

• x² – 10x + 20 

• x² – 28x + 196 

• x² – 24x + 144 

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) 

Is this a perfect square trinomial?
x² + 16x + 64

• Yes

• No

x² - 400

• ( x - 200) ( x + 200) 

• ( x + 20) ( x + 20) 

• Prime

• ( x - 20) ( x + 20) 

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)

• (3x - 4)(x + 3)

• (3x + 3)(x -4)

• (3x - 3)(x + 4)