Resolve 3x2+x−2 3 x 2 + x − 2 into partial fractions

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

Resolve $\frac{3}{x^{2} + x - 2}$ into partial fractions

\frac{1}{x - 1} + \frac{1}{x + 2}

$\frac{1}{x + 1} + \frac{1}{x - 2}$

\frac{1}{x + 1} - \frac{1}{x - 2}

\frac{1}{x - 2} + \frac{1}{x + 2}

Answer Details

$\frac{3}{x^{2} + x - 2}$ = $\frac{3}{(x - 1) (x + 1)}$
$\frac{A}{x - 1}$ + $\frac{B}{x + 2}$
A(x + 2) + B(x - 1) = 3
when x = 1, 3A = 3 $\to$ a = 1
when x = -2, -3B = 3 $\to$ B = -1
3 = 1 - 1
= $\frac{1}{x - 1} + \frac{1}{x + 2}$

Read lesson note on Algebraic Fractions (WAEC)

Algebraic Fractions

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