Factoring Polynomials Completely Review

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)

What is the first question you ask yourself when factoring a polynomial?

• How many terms does it have?

• Is there a GCF?

• Have I completed all of my Algebra assignments this nine weeks?

• How long is this going to take?!?!?!

Factor 25x² - 81.

• (5x -  9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• cannot be factored

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²

Factor:
x² + 7x + 12 

• (x - 3)(x + 4)

• (x + 3)(x - 4)

• (x - 3)(x - 4)

• (x + 3)(x + 4)

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor Completely:
x² - 36

• (x + 9)(x - 4)

• (x - 6)(x - 6)

• (x - 9)(x + 4)

• (x + 6)(x - 6)

factor completely 
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)