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

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

Q1:

Express in partial fractions.

• A
• B
• C
• D
• E

Q2:

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

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q3:

Express in partial fractions.

• A
• B
• C
• D
• E

Q4:

Decompose the following to partial fractions: .

• A
• B
• C
• D
• E

Q5:

Resolve the following into partial fractions:

• A
• B
• C
• D
• E

Q6:

Decompose the following into partial fractions: .

• A
• B
• C
• D
• E

Q7:

If , where is a polynomial function, , and , find the values of the real constants and .

• A,
• B,
• C,
• D,
• E,

Q8:

Which of the following forms can be used to find the partial fraction of the expression .

• A
• B
• C
• D
• E

Q9:

Resolve the following into partial fractions: .

• A
• B
• C
• D
• E

Q10:

Resolve into partial fractions.

• A
• B
• C
• D
• E