8.2-8.3 Review

Multiplying Polynomials

100

Simplify:

3x(2x + 4)

6x² + 12x

200

Simplify:

(x + 3)(x + 5) 

x² + 8x +15

300

Simplify:

(2x + 1)(3x - 2)

6x² - 1x - 2

or 

6x² - x - 2

400

Simplify:

(3x + 2)²

9x² + 12x + 4

500

(x + 3)(x² + 7x - 6)

x³ + 10x² + 15x - 18

Factor By GCF

100

What is the GCF of 12x² and 6x³?

6x²

200

Factor using GCF your final answer should be in the form GCF(       ):

4x² - 2x

2x(2x-1)

300

Factor using GCF your final answer should be in the form GCF(       ):

5k³ - 40k² + 10k

5k(k² - 8k + 2)

400

Factor using GCF your final answer should be in the form GCF(       ):

18x - 21x² 

-3x(7x - 6)

(You have to put it in standard form first and factor out the negative!)

500

Factor using GCF your final answer should be in the form GCF(       ):

30a²b⁵ + 10a³b³

10a²b³(3b² + a)

Factor by Grouping

100

Factor the polynomial. Your final answer should be in the form 

(      ) (      ):

12x³ - 9x² + 4x - 3

(3x² + 1)(4x - 3)

200

Factor the polynomial. Your final answer should be in the form 

(      ) (      ):

3y³ - 4y² + 9y - 12

(y² + 3)(3y - 4)

300

Factor the polynomial. Your final answer should be in the form 

(      ) (      ):

25k³ + 5k² + 30k + 6

(5k² + 6)(5k + 1)

400

Factor the polynomial. Your final answer should be in the form 

(      ) (      ):

12xy - 28x - 15y + 35

(4x - 5)(3y - 7)

500

Factor completely. Hint: Make sure any GCFs are factored out first.

6x³ + 8x² + 12x + 16

2(3x + 4)(x² + 2)