Factories: x^2+ 12x - 45 - Vidyadip

Question

Factories:
$x^2+ 12x - 45$

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Answer

To factories $x^2+ 12x - 45,$ we will find two number p and q such that $p + q = 12$ and $pq = -45$ Now,
$15 + (-3) = 12$ and $15 x (-3) = -45$
Splitting the middle term $12x$ in the given quadratic as $-3x + 15x,$ we get:
$ x^2+12 x-45 $
$ =x^2-3 x+15 x-45 $
$ =\left(x^2-3 x\right)+(15 x-45) $
$ =x(x-3)+15(x-3) $
$ =(x-3)(x+15) $

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