Synthetic Division

Use any style of division to simplify: $\frac{x^5-3x^4+2x^3-x^2+9x+3}{x-2}$ 

•  $x^4-x^3-x+7+\frac{17}{x-2}$  

•  $x^4-x^3-x^2+7x+17$  

•  $x^4-5x^3+12x^2-25x+59+\frac{121}{x-2}$  

•  $x^4+x^3+x-7-\frac{17}{x-2}$  

Tags

CCSS.HSA.APR.D.6

Use any style of division to simplify: $\frac{x^4+x^3+2x^2+3x+9}{x+1}$ 

•  $x^3+2x+1+\frac{8}{x+1}$  

•  $x^3+2x^2+4x+7+\frac{16}{x+1}$  

•  $x^3+2x^2+x+8$  

•  $x^3-2x-1-\frac{8}{x+1}$  

Tags

CCSS.HSA.APR.D.6

Use any style of division to simplify: $\frac{x^5-x^3+2x+4}{x+2}$ 

•  $x^4-2x^3+3x^2-6x+14-\frac{24}{x+2}$  

•  $x^4+2x^3+3x^2+6x+14+\frac{32}{x+2}$  

•  $x^4-2x^3-3x^2-6x-14-\frac{32}{x+2}$  

•  $x^4+2x^3-3x^2+6x-14+\frac{24}{x+2}$  

Tags

CCSS.HSA.APR.D.6

Use any style of division to simplify: $\frac{x^6-1}{x+1}$ 

•  $x^5-x^4+x^3-x^2+x-1$  

•  $x^5+x^4+x^3+x^2+x+1$  

•  $x^5+x^4+x^3-x^2-x-1$  

•  $x^5-x^4-x^3+x^2+x+1$  

Tags

CCSS.HSA.APR.D.6

Use any style of division to simplify: $\frac{x^3+3x^2-9x+10}{x+4}$ 

•  $x^2-x-5+\frac{30}{x+4}$  

•  $x^2+7x+19+\frac{86}{x+4}$  

•  $x^2-7x-19-\frac{86}{x+4}$  

•  $x^2+x+5-\frac{30}{x+4}$  

Tags

CCSS.HSA.APR.D.6

True or False:

When you do a polynomial division, and the remainder is 0, that means that the denominator is a factor of the numerator.

• TRUE

• FALSE

Tags

CCSS.HSA.APR.B.2