# How do you factor 4x^2+x?

May 31, 2018

$x \left(4 x + 1\right)$

#### Explanation:

The key realization here is that both terms have an $x$, so we can factor that out. When we factor an $x$ out, we are essentially dividing every term by $x$. We get

$x \left(\textcolor{b l u e}{4 x + 1}\right)$

Since the blue term has no common factors, we can't factor this further.

Hope this helps!

May 31, 2018

$x \left(4 x + 1\right)$

#### Explanation:

$\text{take out a "color(blue)"common factor } x$

$= x \left(4 x + 1\right)$