# How do you factor completely x^2+7x+10?

$\left(x + 2\right) \left(x + 5\right)$
To factor the quadratic ${x}^{2} + 7 x + 10$, you need to find two numbers that add together to give the first coefficient, and multiply to give the second coefficient. In this case, these numbers are $2$ and $5$. The signs are both positive, so the signs in the factored quadratic are also positive.