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Maths-

General

Easy

Question

Which of the following expressions is equivalent to $fraction numerator x squared minus 2 x minus 5 over denominator x minus 3 end fraction$

$x - 5 - \frac{20}{x - 3}$
$x - 5 - \frac{10}{x - 3}$
$x + 1 - \frac{8}{x - 3}$
$x + 1 - \frac{2}{x - 3}$

The correct answer is: $straight x plus 1 minus fraction numerator 2 over denominator x minus 3 end fraction$

HINT – Use long division method
SOLUTION – Since we need to express the given function I the form of one of the options given, observe the options and see that the function is expressed in the following form –
$fraction numerator D i v i d e n d over denominator D i v i s o r end fraction$ = Quotient + $fraction numerator R e m a i n d e r over denominator D i v i s o r space end fraction$
Using long division method,

$not stretchy rightwards double arrow fraction numerator x squared minus 2 straight x minus 5 over denominator x minus 3 end fraction equals straight x plus 1 minus fraction numerator 2 over denominator x minus 3 end fraction$
So, option D is correct.

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