Factor Completely and Solving by Factoring

What are the zeros to the factored polynomial: m(3m - 4)(2m + 1) = 0 (Choose THREE options)

• 0

• 4/3

• 1/2

• -4/3

• -1/2

What are the factors of 2m² + 13m - 24? (Choose TWO options)

• (m - 6)

• (2m + 4)

• (2m - 3)

• (2m + 3)

• (m + 8)

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

The polynomial 10x³+35x² - 4x -14 is partially factored by grouping.

5x² (_____) - 2(_____)

What is the common factor that is missing from both sets of parenthesis?

• -2x - 7

• 2x + 7

• -2x² +7

• 2x² + 7

What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

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

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

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

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Solve for the values of x:
(x - 3)(x + 6) = 0

• { -3, -6 }

• { 3, -6 }

• { -3, -6 }

• { 3, 6 }