Unit 4 Exam Review

Factor the following:

 $-15x^2y^2-6xy^2$  

•  $-3xy^2\left(5x+2\right)$  

•  $3x^2y^2\left(5x-2\right)$  

•  $3xy\left(5x+2y\right)$  

What is the degree of the following polynomial:
 $-5x^2+6x-3^5+4$  

Multiply the following:

(x-5)(x-2)

• $2x+10$

• $x^2+10x+10$

• $x^2-7x+10$

 $\left(3x-2\right)^2$  

Solve the following:

•  $9x^2-12x+4$  

•  $9x^2-6x+4$  

•  $6x^2-5x-2$  

When solving the following: 

 $16x^3-8$  

Which number correctly replaces the QUESTION MARK?
 $\left(4x-2\right)\left(?^2+8x+4\right)$  

 $\left(x-y\right)\left(x^2+xy+y^2\right)$  

Which expanded form below matches the following factored form?

•  $x\left(x+y\right)$  

•  $x^2-y^2$  

•  $x^3-y^3$  

Completely factor the following and simplify to lowest terms:

 $8x^2-50y^2$  

•  $\left(4x^2-25y\right)\left(4x+25\right)$  

•  $\left(2x-10y\right)\left(4x+5y\right)$  

•  $2\left(2x-5y\right)\left(2x+5y\right)$  

Completely factor and simplify to lowest terms:
 $\frac{1}{27}x^3+1$  

•  $\left(\frac{1}{3}x+1\right)\left(\frac{1}{9}x^2-\frac{1}{3}x+1\right)$  

•  $\left(\frac{1}{3}x+1\right)\left(\frac{1}{9}x^2+\frac{1}{3}x+1\right)$  

• Can't Factor

Completely factor and simplify to lowest terms:
 $6x^2-53x-9$  

• (2x-3)(2x+3)

• (6x+1)(x-9)

• (3x+9)(2x-1)

 $256x^2-289y^2$  

Factor and simplify to lowest terms: