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Q. When we factories $x^2+5 x+6$, then we get

Polynomials, LCM and HCF of Polynomials

Solution:

$ x^2+5 x+6$
$ =x^2+3 x+2 x+6 $
$ =x(x+3)+2(x+3) $
$=(x+2)(x+3)$