Polynomials: Division, End Behavior, and Roots

Use long division algorithm.

• 4x - 2

• 4x + 2

• 2x - 4

• 2x + 4

Which term must be inserted in the dividend before you begin long division?

 $\left(2x^3+5x^2+9\right)\div\left(x+3\right)$  

•  $0x^4$  

•  $0x^3$  

•  $0x^2$  

•  $0x$  

Use the long division algorithm:

 $\left(2x^3+5x^2+9\right)\div\left(x+3\right)$  

•  $2x^2+11x-33-\frac{90}{x+3}$  

•  $2x^2-x+3$  

•  $2x^2-x-3$  

Identify the missing term to complete the solution.

• 28

• 38

• 48

• 58

Identify the missing term to complete the solution.

• -2

• 2

• -3

• 3

Use synthetic division.

• 
• 
• 
• 

 $\ \frac{x^3-2x^2+4x+7}{x+1}$  Use synthetic division to solve. 

•  $x^2-3x+7$  

•  $x^2+3x+7$  

•  $x^2-x+5+\frac{2}{x+1}$  

What is the degree of the function graphed here?

• 2
• 3
• 4
• 5

Is the leading coefficient positive or negative

• positive
• negative

In the above graph complete the following end behavior:

As x --> +∞, f(x) --> ____

As x --> -∞, f(x) --> ____

• -∞

  -∞

• +∞

  -∞

• -∞

  +∞

• +∞

  +∞