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# How do you factor w^2+4w+3?

Mar 7, 2018

$\left(w + 3\right) \left(w + 1\right)$
In this case, since $a = 1$ (in $a {x}^{2} + b x + c$), simply look for two numbers whose sum is $4$ and whose product is $3$. You can easily see that the two numbers are $1$ and $3$.
Then, just write it down: $\left(w + 3\right) \left(w + 1\right)$