Synthetic Division and Remainder/Factor Theorem

Divide. 

 $x^2+7x-18\ by\ x+9\$  
What is the quotient?

•  $x+2$  

•  $x-2$  

•  $0$  

•  $-2$  

Divide. 

 $\frac{x^4+3x^2-5x}{x+3}$  
What is the quotient?

•  $123$  

•  $-41$  

•  $\frac{123}{x+3}$  

•  $\frac{123}{x-3}$  

 Write a polynomials functions with the given zeros?

 $Zeros:\ -2,\ -3,\ 2$ 

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

•  $\left(x^2+5x+6\right)\left(x-2\right)$  

•  $x^3+5x^2+6x-2x^2-10x-12$  

•  $x^3+3x^2-4x-12$  

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.D.6

Divide using synthetic division.

What is A?

Tags

CCSS.HSA.APR.D.6

When using synthetic division to test linear factors of a polynomial, what does the remainder need to equal to confirm that it is indeed a factor?

• 1

• -1

• 0

• Any number except 0

Tags

CCSS.HSA.APR.D.6