Algebra 2 Unit 3 Test Review

Factor the sum of squares:  $x^3+216$  

•  $\left(x-6\right)\left(x^2-6x+36\right)$  

•  $\left(x-6\right)\left(x^2+6x+36\right)$  

•  $\left(x-6\right)\left(x^2+6x+12\right)$  

•  $\left(x+6\right)\left(x^2-6x+36\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the difference of squares:  $x^3-216$  

•  $\left(x-6\right)\left(x^2-6x+36\right)$  

•  $\left(x-6\right)\left(x^2+6x+36\right)$  

•  $\left(x-6\right)\left(x^2+6x+12\right)$  

•  $\left(x+6\right)\left(x^2-6x+36\right)$  

Tags

CCSS.HSA.SSE.A.2

Divide: 

 $\left(4x^4+18x^3+3x^2-18x+9\right)\div\left(x+4\right)$  

•  $4x^3+2x^2-5x+2+1$  

•  $4x^3+2x^2-5x+2+\frac{1}{x-4}$  

•  $4x^3+2x^2-5x+\frac{2}{x+4}$  

•  $4x^3+2x^2-5x+2+\frac{1}{x+4}$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Name ALL the possible roots for  $f\left(x\right)=2x^3+16x^2+19x+6$  

•  $\pm1,\ \pm2,\ \pm3,\ \pm6$  

•  $\pm1,\ 2,\ 3$  

•  $\pm1,\ \pm2,\ \pm3,\ \pm6,\ \pm\frac{1}{2},\ \pm\frac{3}{2}$  

•  $1,\ 2,\ 3,\ 6,\ \frac{1}{2},\ \frac{3}{2}$  

Tags

CCSS.HSA.APR.B.3

How many roots does the polynomial function have?
 $f\left(x\right)=x^4+3x^3+5x^2-3x-6$  

• 2

• 3

• 4

• 5

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

How many zeros does the polynomial equation have?
 $0=2x^5+6x^3-32$  

• 2
  

• 3

• 4

• 5

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

The function f(x) has a root at -2. Name all roots of this function.
 $f\left(x\right)=x^3+9x^2+26x+24$  

• -2, -3, -4

• -2, 3, -4

• 3, 4

• -3, -4

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find the zeros of the function. (You might want to look at the graph of the function to help you get started!)

 $f\left(x\right)=x^3+11x^2+10x-22$  

•  $1,\ -10,\ -2.5$  

•  $1,\ -6+\sqrt{14},\ -6-\sqrt{14}$  

•  $1,\ \sqrt{14}$  

•  $1,\ -12+2\sqrt{14}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Factor:  $x^4-256$  

•  $\left(x-4\right)\left(x+4\right)\left(x+4\right)\left(x-4\right)$  

•  $\left(x-4\right)\left(x+4\right)\left(x+4i\right)\left(x-4i\right)$  

•  $\left(x-4\right)\left(x+4\right)\left(x^2+16\right)$  

•  $\left(x^2+16\right)\left(x^2-16\right)$  

Tags

CCSS.HSA.SSE.A.2

Factor:  $x^4+8x^2+12=0$  

•  $\left(x-4\right)\left(x+4\right)\left(x+4\right)\left(x-4\right)$  

•  $i\sqrt{2},\ i\sqrt{6}$  

•  $\left(x^2+6\right)\left(x^2-6\right)$  

•  $i\sqrt{2},\ -i\sqrt{2},\ i\sqrt{6},\ -i\sqrt{6}$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3