The sum of two binomials is $5 x^{2} - 6 x$ . If one of the binomial is $3 x^{2} - 2 x$ . Find the other.

$2 x^{2} - 4 x$

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$2 x^{2} - 8 x$

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$8 x^{2} - 4 x$

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$8 x^{2} - 8 x$

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Solution

The correct option is A
$2 x^{2} - 4 x$

Let the other binomial be $P$ .

Then, $(3 x^{2} - 2 x) + P$ = $5 x^{2} - 6 x$

$⟹ P$ $= (5 x^{2} - 6 x) - (3 x^{2} - 2 x)$
$= 5 x^{2} - 6 x - 3 x^{2} + 2 x$
$= 2 x^{2} - 4 x$

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