# Lesson Worksheet: Partial Fractions: Nonrepeated Linear Factors Mathematics • 12th Grade

In this worksheet, we will practice decomposing rational expressions into partial fractions when the denominator has nonrepeated linear factors.

Q1:

Express in partial fractions.

• A
• B
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• D
• E

Q2:

Find and such that .

• A,
• B,
• C,
• D,
• E,

Q3:

Express in partial fractions.

• A
• B
• C
• D
• E

Q4:

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

• A
• B
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• D
• E

Q5:

Find and such that

• A,
• B,
• C,
• D,
• E,

Q6:

Mason wants to convert the rational expression into partial fractions.

His first step is to divide the numerator by the denominator. Complete this division.

• A
• B
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• E

Mason now converts this expression into partial fractions. Convert the expression into partial fractions.

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• B
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• D
• E

Q7:

Convert the rational expression into partial fractions.

• A
• B
• C
• D
• E

Q8:

Resolve the expression into partial fractions.

• A
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• D
• E

Q9:

Which of the following is an expression for the sum of partial fractions of ?

• A
• B
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• D
• E

Q10:

Decompose into partial fractions, where is a quadratic function, , , and .

• A
• B
• C
• D
• E

This lesson includes 27 additional question variations for subscribers.