Polynomials - Zeros, Factors, Equations

State the roots.  $x^3+2x^2+4x+8=0$  

•  $\left\{2,\ 2i,\ -2i\right\}$  

•  $\left\{-2,\ 2i,\ -2i\right\}$  

•  $\left\{-2,\ 2,\ -2i,\ 2i\right\}$  

•  $\left\{2,\ 2i\right\}$  

What is the solution?  $x^4-12x^2+32=0$  

•  $\left\{2,\ \ 2\sqrt{2}\right\}$  

•  $\left\{2,\ -2,\ 2\sqrt{2}\right\}$  

•  $\left\{2,\ -2,\ \sqrt{8}\right\}$  

•  $\left\{2,-2,\ 2\sqrt{2},-2\sqrt{2}\right\}$  

Write a polynomial function of least degree in standard form that has the follow roots.
 $-3,\ \sqrt{5}$  

•  $f\left(x\right)=\left(x+3\right)\left(x^2-5\right)$  

•  $f\left(x\right)=\left(x-3\right)\left(x-\sqrt{5}\right)$  

•  $f\left(x\right)=x^3+3x^2-5x-15$  

•  $f\left(x\right)=x^3-3x^2+5x+15$  

Tags

CCSS.HSA.APR.B.3

Write a polynomial function of least degree in standard form that has the follow roots.
 $3,\ -3i$  

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

•  $f\left(x\right)=x^3-3x^2+9x-27$  

•  $f\left(x\right)=x^3+3x^2+9x-27$  

•  $f\left(x\right)=\left(x-3\right)\left(x-3i\right)$  

Tags

CCSS.HSA.APR.B.3

Find all exact roots.  $f\left(x\right)=x^3+7x^2-7x-57$  

•  $\left\{-3,\ -2\ \pm\ \sqrt{23}\right\}$  

•  $\left\{-3,\ -2,\ \pm\sqrt{23}\right\}$  

•  $\left\{3,\ -3,\ 2,\ -2,\ \pm\sqrt{23}\right\}$  

•  $\left\{-3,\ \pm\sqrt{23}\right\}$  

Find all exact roots.  $3x^3+18x^2+22x+35=0$   

•  $\left\{5,\ -3,\ \pm\frac{5i\sqrt{3}}{6}\right\}$  

•  $\left\{-5,\ \frac{-3\pm5i\sqrt{3}}{6}\right\}$  

•  $\left\{-5,\ \frac{-3+5i\sqrt{3}}{6}\right\}$  

•  $\left\{5,\ \frac{-3\pm5i\sqrt{3}}{6}\right\}$  

Find the roots of 0=x³-4x²+2x-8

• x=±2, x=4

• x=±2i, x=4

• x=±i√2,x=4

• x=±√2,x=4

What type of roots does the function have?

• Imaginary

• Whole Number

• Integer

• Real

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

What is the factored form of the function shown?

• y = (x+3)(x-1)

• y = (x-3)(x-1)

• y = (x+3)(x+1)

• y = (x-3)(x+1)

Tags

CCSS.HSF-IF.C.7A

Given the polynomial below, how many roots will it have?
 $y=x^3+5x^2-9x-2$  

• 2

• 1

• 3

• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11