# How do you factor x³+7x²+10x?

Jan 13, 2016

Factoring involves looking for patterns, such as common factors and numbers that add to one term and multiply to another.

#### Explanation:

The first step is to look for factors that are common to all terms. In this case, every term has at least one $x$ term, so we can factor that out.

$x \left({x}^{2} + 7 x + 10\right)$

Now in the backets, we look for numbers that add to the second coefficient, and multiply together to make the final term. In this case. two numbers that add to 7 and multiply to 10. It seems that 2 and 5 fit the bill, so it factors to:

$x \left(x + 2\right) \left(x + 5\right)$