Engineering Board Exam Reviewer · Partial Fractions and Rational Expressions · medium

Resolve 5x+1/(x-1)(x+2) into partial fractions.

1. 3/x-1+2/x+2
2. 2/x-1-3/x+2
3. 2/x-1+3/x+2
4. -2/x-1+3/x+2

Answer

C. 2/x-1+3/x+2

Solution

Write 5x+1/(x-1)(x+2)=A/x-1+B/x+2. At x=1: A=6/3=2. At x=-2: B=-9/-3=3.

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