5.4-5.6 Assessment (Algebra 2/Trig)

What are the factors of:

 $x^3-27$  

•  $\left(x-3\right)\left(x^2+3x+9\right)$  

•  $\left(x+3\right)\left(x^2-3x+9\right)$  

•  $\left(x-3\right)\left(x-3\right)\left(x-3\right)$  

•  $\left(x-3\right)\left(x^2+9\right)$  

Tags

CCSS.HSA.APR.C.4

Fill in the blank to finish the factorization:

 $8x^3+125=\left(2x+5\right)\left(\ \ \ \ \ \ \ \ \ \ ?\ \ \ \ \ \ \ \ \ \ \right)$  

•  $\left(2x^2+5x+25\right)$  

•  $\left(4x^2-10x+25\right)$  

•  $\left(4x^2+10x+25\right)$  

Tags

CCSS.HSA.APR.C.4

Fill in the blank to complete the factorization of:

 $4x^3-8x^2+3x-6=\left(\ \ \ \ \ ?\ \ \ \ \ \right)\left(4x^2+3\right)$  
Type your answer without parenthesis or spaces between

Tags

CCSS.HSA.APR.B.2

Fill in the blank to complete the factorization of:

 $x^4-23x^2-50=\left(x^2+2\right)\cdot$  

_______?_______ Type parenthesis around your answer(s), but no spaces between

Select all the factors of:

 $3x^3+15x^2-18x$  

• 3x

• (x+6)

• (x-1)

• (x-3)

• (x-2)

Select all the solutions to the equation:

 $x^4-16=15x^2$  

• 4

• -4

• -1

• 1

Tags

CCSS.HSA-REI.B.4B

Select all the solutions to the equation:

 $x^3-6x^2=2x-12$  

•  $6$  

•  $\pm\sqrt{2}$  

•  $\pm\sqrt{6}$  

•  $2$  

•  $1$  

Tags

CCSS.HSA-REI.B.4B

Which of the following equations could match the graph?

• $f\left(x\right)=\left(x+3\right)\left(x+1\right)\left(x+2\right)$

• $f\left(x\right)=\left(x+3\right)\left(x+1\right)\left(x-2\right)$
  

• $f\left(x\right)=\left(x-3\right)\left(x-1\right)\left(x+2\right)$

• $f\left(x\right)=-\left(x+3\right)\left(x+1\right)\left(x-2\right)$

Tags

CCSS.HSA.APR.B.3

Which of the following equations could represent the graph:

• $h\left(x\right)=-\left(x+1\right)\left(x-3\right)$

• $h\left(x\right)=\left(x+1\right)^2\left(x-3\right)^2$

• $h\left(x\right)=-\left(x+1\right)^2\left(x-3\right)^2$

• $h\left(x\right)=-\left(x+1\right)\left(x-3\right)^2$

Tags

CCSS.HSA.APR.B.3

Use synthetic division and the given zero to identify the remaining factors of

 $p\left(x\right)=x^3-x^2-10x-8$  given zero: -2

•  $\left(x+4\right)$  

•  $\left(x+1\right)$  

•  $\left(x-4\right)$  

•  $\left(x-2\right)$  

Tags

CCSS.HSA.APR.D.6