Partial Fraction Decomposition Worksheet

This worksheet provides practice problems on partial fraction decomposition for grade 10 algebra students.

Grade 10 Math AlgebraPartial Fraction Decomposition

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Includes

3 Short AnswerFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

AlgebraPartial FractionsDecompositionRational ExpressionsGrade 10

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Partial Fraction Decomposition

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Decompose each rational expression into its partial fractions. Show all your work.

1. Decompose the following expression: (x + 5) / (x² - x - 2)

2. Decompose the following expression: (3x - 1) / (x² - 1)

3. Decompose the following expression: (2x + 1) / (x² + 4x + 4)

4. Decompose the following expression: (5x - 3) / (x(x - 2)²)

5. Decompose the following expression: (x + 1) / (x(x² + 1))

6. Decompose the following expression: (2x² - x + 4) / (x³ + 4x)

Fill in the blanks with the correct partial fraction decomposition form:

7. (5x + 7) / ((x - 2)(x + 3)) = A / (x - 2) +

8. (x² + 1) / (x(x - 1)²) = A / x + B / (x - 1) +

9. (3x - 5) / (x(x² + 4)) = A / x +