PARTIAL FRACTIONS

Find the partial fraction decomposition.

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Tags

CCSS.HSA.APR.D.6

Find the partial fraction decomposition...

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Tags

CCSS.HSA.APR.D.6

If the degree of numerator N(x) is equal or greater than the degree of denominator D(x), then the fraction is:

• proper

• improper

• both proper and improper

• none of the above

Tags

CCSS.HSA.APR.D.7

If the degree of numerator N(x) is less than the degree of denominator D(x), then the fraction is:

• proper

• improper

• both proper and improper

• none of the above

Tags

CCSS.HSA.APR.D.6

Set up the partial fractions...

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Tags

CCSS.HSA.APR.D.6

This fraction is known as

 $\frac{2x+5}{x^2+5x+6}$  

• proper

• improper

• proper and improper

• none of the above

Tags

CCSS.HSA.APR.D.6

Circle all that apply. The number on the bottom of a fraction is called what?

• numerator

• denominator

• divisor

• dividend

Tags

CCSS.3.NF.A.1

CCSS.3.NF.A.2B

Which one should be used in the partial fraction decomposition of  $\frac{2x^2-x+4}{x^2-x-2}?$  

•  $2+\frac{-3x}{x^2-x-2}$  

•  $2+\frac{3x}{x^2-x-2}$  

•  $2+\frac{x+8}{x^2-x-2}$  

• none, the fraction is proper

Tags

CCSS.HSA.APR.D.6

Which one should be used in the partial fraction decomposition of  $\frac{4x}{\left(x+1\right)\left(3+x^2\right)}?$  

•  $\frac{A}{\left(x+1\right)}+\frac{B}{\left(3+x\right)}+\frac{C}{\left(3+x\right)^2}$  

•  $\frac{A}{\left(x+1\right)}+\frac{Bx+C}{\left(3+x^2\right)}$  

•  $\frac{A}{\left(x+1\right)}+\frac{B}{\left(3+x^2\right)}$  

•  $\frac{A}{\left(3+x^2\right)}+\frac{Bx}{\left(1+x\right)}$  

Tags

CCSS.HSA.APR.D.6

Which one should be used in the partial fraction decomposition of  $\frac{x-11}{\left(x+3\right)^2\left(x-4\right)}?$  

•  $\frac{A}{\left(x+3\right)}+\frac{B}{\left(x+3\right)}+\frac{C}{\left(x-4\right)}$  

•  $\frac{A}{\left(x-4\right)}+\frac{Bx+C}{\left(x+3\right)^2}$  

•  $\frac{A}{\left(x+3\right)^2}+\frac{B}{\left(x-4\right)}$  

•  $\frac{A}{\left(x+3\right)}+\frac{B}{\left(x+3\right)^2}+\frac{C}{\left(x-4\right)}$  

Tags

CCSS.HSA.APR.D.6