Unit 4 Review: Polynomials

Which of the following could represent the function graphed above?

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

Tags

CCSS.HSA.APR.B.3

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Tags

CCSS.HSF-IF.C.7C

Given the function
 $f\left(x\right)=-5x^4+2x^3-48x+240$ determine the total number of zeros. 

• 4

• 3

• 5

• 2

All imaginary roots comes in pairs.

• True
• False

Write the expression as a product of linear factors.

x⁴ + 5x² - 36

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

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

• $\left(x+9\right)\left(x-4\right)$
  

• $\left(x-9\right)\left(x+4\right)$
  

Tags

CCSS.HSA.APR.C.4

Factor over the set of complex numbers.
 $9x^2+16$  

•  $\left(3x+4\right)\left(3x+4\right)$  

•  $\left(9x+4\right)\left(9x+4\right)$  

•  $\left(3x+4i\right)\left(3x-4i\right)$  

•  $\left(3x+4i\right)\left(3x+4i\right)$  

Tags

CCSS.HSA.APR.C.4

Find all the zeros of the polynomial.

• A

• B

• C

• D

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.2

Find all the zeros of g(x) = x⁴ + x³ + 3x² + 9x - 54.

• x = -3, 2, ± 3i

• x = -3, 2

• x = -3, -3, 2, 3

• x = 2, 3, ± 3i

Determine all zeros of the function.

 $f\left(x\right)=x^3-5x^2-7x+51$  

•  $x=\left\{-3,\ 4\pm i\right\}$  

•  $x=\left\{-3,\ 8\pm2i\right\}$  

•  $x=\left\{3,\ 4\pm i\right\}$  

•  $x=\left\{3,\ 8\pm2i\right\}$