Math III H LT 2 Quiz Part 1

What must be true about the degree and leading coefficient of the graphed polynomial?

• The polynomial is an odd-degree function and has a positive coefficient
  

• The polynomial is an odd-degree function and has a negative coefficient

• The polynomial is an even-degree function and has a positive coefficient

• The polynomial is an even-degree function and has a negative coefficient

A plynomial has roots of 3, 5, and 2i.  What is the minimum degree of the polynomial?

• 3

• 4

• 5

• 6

A third-degree polynomial has roots of 3 and (2+i). What is the additional root? (Write your answer without spaces)

Tags

CCSS.HSN.CN.C.9

Given the polynomial

 $f\left(x\right)=3x^3-2x^2+x-1$  , identify the end behavior:

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

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

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

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

Find the remainder when

 $\left(2x^3-7x^2+4x+2\right)\div\left(x^2-2x+3\right)$  
(Do not type any spaces in your answer, do not type in r=  )

Tags

CCSS.HSA.APR.D.6

If

 $\left(x-2\right)$  is a factor of  $3x^4+2x^3-9x^2+kx-6$  , what is the value of  $k?$  
(Only type in what the value is, do not type in k=  )

Tags

CCSS.HSA.APR.B.2

Is  $\left(x+1\right)$  a factor of  $\left(x^4+4x^3-7x^2-22x-12\right)$  ?

• Yes

• No

Tags

CCSS.HSA.APR.B.2

Which function represents the following graph:

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

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

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

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

Tags

CCSS.HSA.APR.B.3