Factoring Gcf, Difference of Squares and Trinomials

Which of the following is a perfect square trinomial?

• x² – 4x – 4 

• x² – 6x – 9 

• x² + 6x – 9 

• x² – 4x + 4 

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)

Fully Factor the Following
25x²-81

• (5x-9)²

• (5x+9)(5x-9)

• 25(x-9)²

• (9x+5)(9x-5)

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

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: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Find GCF first, then use difference of squares to factor:

Factor
2n² + 32n + 126

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• 2(n+7)(n+9)

What is the GCF of the trinomial?
3x² - 9x -120

• 3

• 2

• 6

• 9

Factor completely.
2n² + 13n + 15

• (5n - 9)(n - 3)

• (3n + 7)(n + 4)

• (2n + 3)(n + 5)

• Not factorable