Partial Fraction Decomposition Worksheet
This worksheet provides practice problems on partial fraction decomposition for grade 10 algebra students.
Includes
Standards
Topics
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 +
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