Free Printable Partial fractions

1.

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

a)

proper

b)

improper

c)

both proper and improper

2.

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

a)

proper

b)

improper

c)

both proper and improper

3.

This fraction is known as

$\frac{2x+5}{x^2+5x+6}$

a)

proper

b)

improper

c)

proper and improper

d)

none of the above

4.

$\frac{8-x}{\left(x+1\right)\left(x-1\right)}$ is a

a)

proper fraction

b)

improper fraction

c)

I am not sure

d)

None of the above

5.

When I need to decompose an improper fraction into its partial fractions, I need to do long division first.

a)

TRUE

b)

FALSE

6.

Set up the partial fractions...

a)

b)

c)

d)

7.

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

a)

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

b)

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

c)

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

d)

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

8.

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

a)

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

b)

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

c)

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

d)

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

9.

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

a)

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

b)

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

c)

I am not sure

10.

$\frac{7x^2+x+15}{x^3+3x}=$

a)

$\frac{A}{x}+\frac{B}{x^2+3}$

b)

$\frac{A}{x}+\frac{Bx+C}{x^2+3}$

c)

$A+\frac{B}{x}+\frac{C}{x^2+3}$

d)

$Ax+B+\frac{C}{x}+\frac{D}{x^2+3}$

11.

$\frac{2x^3-9x^2+7x+8}{\left(2x+1\right)\left(x-2\right)}=$

a)

$Ax+B+\frac{C}{\left(2x+1\right)}+\frac{D}{\left(x-2\right)}$

b)

$\frac{A}{\left(2x+1\right)}+\frac{B}{\left(x-2\right)}$

c)

I am not sure

Partial fractions

Total questions: 11

Worksheet time: 8mins

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