# Worksheet: Finding the Partial Fraction

Q1:

Express in partial fractions.

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Q2:

Express in partial fractions.

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Q3:

Express in partial fractions.

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Q4:

Express in partial fractions.

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Q5:

Express in partial fractions.

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Q6:

Determine the partial fraction decomposition of .

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Q7:

Find and such that .

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Q8:

Find and such that .

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Q9:

Find and such that

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Q10:

The expression can be written in the form . Find the values of and .

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Q11:

The expression can be written in the form . Find the values of , and .

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Q12:

Consider the rational expression . The following strategy reveals it as a sum of partial fractions.

What is the value of when ? Let us call this .

So, . What is ? Give the factored and simplified form.

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Repeat the first step with and to find and so that . What, finally, is the partial fraction decomposition of ?

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