5.4A Long Division

Question 1:

 $\left(x^2+2x+6\right)\div\left(x-3\right)$  

•  $x+5+\frac{21}{x-3}$  

•  $x+5+21$  

•  $x+26$  

•  $x+5-\frac{9}{x-3}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

In question #1, was x-3 a factor of the polynomial?

• yes

• no

Tags

CCSS.HSA.APR.B.2

Question 2:

 $\left(2x^2+x-3\right)\div\left(x-1\right)$  

•  $2x+3-\frac{6}{x-1}$  

•  $2x+3$  

•  $2x-3$  

•  $2^2+3$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

In question 2, was x-1 a factor of the polynomial?

• yes

• no

Tags

CCSS.HSA.APR.B.2

Question 3:

 $\left(x^3-x^2-x-2\right)\div\left(x-2\right)$  

•  $x-1$  

•  $x^{2\ }+x\ +1-\frac{4}{x-2}$  

•  $x^{2\ }-x-1$  

•  $x^2+x+1$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

In question 3, was x-2 a factor of the polynomial?

• yes

• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Question 4:

 $\left(4x^3-7x+8\right)\div\left(2x-1\right)$  

•  $2x^2+x-3+\frac{11}{2x-1}$  

•  $2x^2+3.5x\ -2$  

•  $2x^2+x-3$  

•  $2x^2+x-3+\frac{5}{2x-1}$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

For question 4, is (2x - 1) a factor of the polynomial?

• yes

• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Question 5:

 $\left(3x^3-2x^2+5x+1\right)\div\left(3x+1\right)$  

•  $x^2-x+2$  

•  $x^2-x+2+\frac{-1}{3x+1}$  

•  $x^2-x+2+\frac{3}{3x+1}$  

•  $3x^2-2x\ -1$  

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.D.6

For question 5, is (3x + 1) a factor of the polynomial?

• yes

• no

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3