Divide Polynomials 3-4

Multiple Choice

What is the maximum number of turns the graph of a fourth degree polynomial can have?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

Use long division:

$$\frac{125}{9}$$  

• $$14\frac{1}{9}$$  

• $$13\frac{8}{9}$$  

• $$12\frac{8}{11}$$  

• $$11\frac{8}{9}$$  

Multiple Choice

Which of the following functions is NOT a polynomial function?

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

• $$g\left(x\right)=\frac{x^2}{5}+8x-9$$  

• $$h\left(x\right)=\frac{3}{x}-2$$  

• $$j\left(x\right)=x^2\sqrt[]{2}+x\sqrt[]{3}$$  

Multiple Choice

If I divide $$3x^3-8x^2+2x-5$$   by $$x+2$$  , which of the following gives me the correct synthetic division to perform?

• $$\left[2\right]\ 3\ \ \ -8\ \ \ \ 2\ \ \ \ \ -5$$  

• $$\left[2\right]\ -3\ \ \ 8\ \ \ -2\ \ \ 5$$  

• $$\left[-2\right]\ \ -3\ \ \ \ 8\ \ \ \ -2\ \ \ \ \ 5$$  

• $$\left[-2\right]\ 3\ -8\ \ \ 2\ \ \ -5$$  

Multiple Choice

When I divide $$2x^3-3x^2+x-5$$   by $$x-3$$   using synthetic division, I get the following numbers in the bottom line: $$2\ \ \ \ 3\ \ \ \ 10\ \ \ \ \ 25$$  . Is $$x-3$$   a factor of $$2x^3-3x^2+x-5$$  ?

• Yes, there is no remainder.

• Yes, the remainder of 25 is divisible by 5.

• No, there is no remainder.

• No, there is a remainder of 25.