How do you factor $x^2+31x+30$ ?

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Answer 1 · 2016-05-23T19:41:19

$x^2+31x+30 = (x+30)(x+1)$

Note that $31 = 30+1$ and $30 = 30xx1$ , so we find:

$(x+30)(x+1) = x^2+31+30$

In general, given $x^2+px+q$ , if we can find $a, b$ such that $a+b=p$ and $ab = q$ , then:

$x^2+px+q = (x+a)(x+b)$

How do you factor x^2+31x+30x^2+31x+30?