Find P if x?3(1?x)(x+2) x ? 3 ( 1 ? x ) ( x + 2 ) = p1?x p 1 ? x + Qx+2

Assessment: JAMB UTME - Mathematics - 1994 Subject: General Mathematics

Question 1 Report

Find P if $\frac{x - 3}{(1 - x) (x + 2)}$ = $\frac{p}{1 - x}$ + $\frac{Q}{x + 2}$

\frac{- 2}{3}

\frac{- 5}{3}

\frac{5}{3}

\frac{2}{3}

Answer Details

$\frac{x - 3}{(1 - x) (x + 2)}$ = $\frac{p}{1 - x}$ + $\frac{Q}{x + 2}$
Multiply both sides by LCM i.e. (1 - x(x + 2))
∴ x - 3 = p(x + 2) + Q(1 - x)
When x = +1
(+1) - 3 = p(+1 + 2) + Q(1 - 1)
-2 = 3p + 0(Q)
3p = -2
∴ p = $\frac{- 2}{3}$

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