Partial Fraction Decomposition Worksheet
Grade 12 Math worksheet on partial fraction decomposition, covering various cases and problem types.
Includes
4 Short AnswerMultiple Choice
Standards
CCSS.MATH.CONTENT.HS.APR.D.6CCSS.MATH.CONTENT.HS.APR.D.7
Topics
AlgebraPre-calculusPartial FractionsDecomposition
7 sections · Free to use · Printable
Partial Fraction Decomposition
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Decompose each rational expression into its partial fractions. Show all your work.
1. Decompose the following rational expression:
(5x - 1) / (x² - 1)
2. Decompose the following rational expression:
(4x) / ((x - 2)²)
3. Decompose the following rational expression:
(x - 3) / (x(x² + 1))
4. First, perform long division, then decompose the resulting proper rational expression:
(x³ + x² + x + 1) / (x² + x)
5. Which of the following is the correct partial fraction decomposition of (2x + 3) / (x² + 3x + 2)?
a
A/(x+1) + B/(x+2)
b
2/(x+1) - 1/(x+2)
c
1/(x+1) + 1/(x+2)
d
1/(x+1) + 2/(x+2)