Question

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

Answer 1

`x(4x+1)`

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(color(blue)(4x+1))`

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

Hope this helps!

Answer 2

`x(4x+1)`

Explanation:

`"take out a "color(blue)"common factor "x`

`=x(4x+1)`