(04/15 W) Polynomial Division Summative

Divide the polynomial:  $\frac{x^4+2x^2-5}{x}$  

•  $4x^3+4x-\frac{5}{x}$  

•  $x^3+2x-5$  

•  $x^3+2x-\frac{5}{x}$  

•  $x^3+2x-5x$  

Tags

CCSS.HSA.APR.D.6

Divide the polynomials:  $\frac{x^2+2x-3}{x-1}$  

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

•  $\left(x-1\right)$  

•  $\left(x+3\right)$  

•  $\left(x-3\right)$  

Tags

CCSS.HSA.APR.D.6

Divide the polynomials:  $\frac{x^2-49}{x+7}$  

•  $\left(x+7\right)$  

•  $\left(x-7\right)$  

•  $\left(x+42\right)$  

•  $\left(x-56\right)$  

Tags

CCSS.HSA.APR.D.6

The expression  $\frac{6x^3+17x^2+10x+2}{2x+3}$  is equivalent to:

•  $3x^2+4x-1+\frac{5}{2x+3}$  

•  $6x^2+8x-2+\frac{5}{2x+3}$  

•  $6x^2-x+13-\frac{37}{2x+3}$  

•  $3x^2+13x+\frac{49}{2}+\frac{151}{2x+3}$  

Tags

CCSS.HSA.APR.D.6

Which of the following is NOT a factor of  $2x^4-10x^2+8$  ?

•  $\left(2x-4\right)$  

•  $\left(x+2\right)$  

•  $\left(x+1\right)$  

•  $\left(x-3\right)$  

Tags

CCSS.HSA.APR.B.2

Write the polynomial $x^3+6x^2+3x-10$ in factored form, given that  $\left(x-1\right)$  is one of it's linear factors.

[Do not use any spaces in your answer]

Tags

CCSS.HSA.APR.B.2

What is the end behavior of the graph of the polynomial: $P\left(x\right)=-2x^4+3x^3-2x^2+1$ 

• As $x\rightarrow+\infty,\ P\left(x\right)\rightarrow+\infty$ ,
  As $x\rightarrow-\infty,\ P\left(x\right)\rightarrow+\infty$  

• As $x\rightarrow+\infty,\ P\left(x\right)\rightarrow-\infty$ ,
  As $x\rightarrow-\infty,\ P\left(x\right)\rightarrow-\infty$ 

• As $x\rightarrow+\infty,\ P\left(x\right)\rightarrow+\infty$ ,
  As $x\rightarrow-\infty,\ P\left(x\right)\rightarrow-\infty$  

• As $x\rightarrow+\infty,\ P\left(x\right)\rightarrow-\infty$ ,
  As $x\rightarrow-\infty,\ P\left(x\right)\rightarrow+\infty$  

Which graph matches the polynomial equation $P\left(x\right)=\left(x-4\right)\left(x-2\right)^2\left(x+1\right)\left(x+2\right)$ 

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Tags

CCSS.HSA.APR.B.3

Given the polynomial $P\left(x\right)$ in factored form $P\left(x\right)=\left(x-2\right)\left(x-1\right)^2\left(x+2\right)$ 

Find the following:
1. The degree of the polynomial
2. The zeros (x-intercepts) of the polynomial
3. The y-intercept of the polynomial
4. The end-behavior of the polynomial

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