How to factor $x^2+7x+6$ ?

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Answer 1 · 2016-12-09T11:03:42

$(x+6)(x+1)$

For this question, we want to find factors, $a, b$ where:

$a xx b = 6$ and $a + b = 7$

In this case, we can set $a=6, b=1$ , which gives us:

$(x+6)(x+1)$

We can show that this works by multiplying it out:

$x xx x = x^2$
$x xx 1 = x$
$6 xx x = 6x$
$6 xx 1 = 6$

and now add them all together:

$x^2+x+6x+6=x^2+7x+6$

How to factor x^2+7x+6x^2+7x+6?