Chapter 8 Review

 $What\ is\ i^2?$  

•  $1$  

•  $\sqrt{-1}$  

•  $-1$  

•  $i$  

Tags

CCSS.HSN.CN.A.1

Odd polynomials have _____ end behavior.

Which of the following polynomials are of degree 3?

• $y=x\left(x-2\right)^2$

• $y=4x^3-x^2+x-3$

• $y=\left(x-3\right)^2\left(x-1\right)\left(x+4\right)$

• $y=x^2+4x-2$

• $y=x^3$

In the xy-plane the graph of the function

 $f\left(x\right)$  has 4 zeros: 0, 2, -5, and 2/3. Which of the following could define  $f\left(x\right)?$  

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

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

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

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

Tags

CCSS.HSA.APR.B.3

 $f\left(x\right)=4x\left(x+3\right)\left(2x-1\right)$  

T/F
The following polynomial has a vertical stretch:

• True

• False

How many real and complex roots does the function above have?

• 2 real and no complex

• 3 real and 1 complex

• 2 real and 3 complex

• 2 real and 2 complex

What are the other roots of

 $y=3x^3+14x^2-23x+6$  given that  $x=1$  is one factor. (hint: use division in the area model)

•  $x=\frac{1}{3}\ and\ -6$  

•  $x=3\ and\ -2$  

•  $x=-6\ and\ -1$  

•  $x=\frac{2}{3}\ and\ 6$  

Tags

CCSS.HSA.APR.B.2

 $y=x^3-11x$  

Study the function. What are the roots?

•  $x=0,\ 11$  

•  $x=\pm\sqrt{11}$  

•  $x=-\sqrt{11},\sqrt{11},0$  

• There are no roots

Tags

CCSS.HSF-IF.C.7C

What are roots of a polynomial?

• Zeros

• y-intercepts

• x-intercepts

• Where y=0

• Where x=0

Tags

CCSS.HSF-IF.C.7C

 $f\left(x\right)=\left(x-2\right)^2\left(3x+2\right)\left(2x+1\right)^3$  What is the degree of this polynomial?