How do you factor $v^{2} + 7 v + 6$ $v^2+7v+6$ ?

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Answer 1 · 2016-05-10T21:19:32

$v^{2} + 7 v + 6 = (v + 1) (v + 6)$ $v^2+7v+6 = (v+1)(v+6)$

Note that $1 + 6 = 7$ $1+6=7$ and $1 \cdot 6 = 6$ $1*6=6$

So we find:

$v^{2} + 7 v + 6 = v^{2} + (1 + 6) v + (1 \cdot 6) = (v + 1) (v + 6)$ $v^2+7v+6 = v^2+(1+6)v+(1*6) = (v+1)(v+6)$

How do you factor v2+7v+6v^2+7v+6?