Question

How do you factor `5z^2+10z`?

Answer 1

`5z^2+10z=color(green)(5z(z+2))`

Explanation:

The constant parts of the terms: `5` and `10` have an obvious common factor of `5`.
The variable parts of the terms: `z^2` and `10z` have an obvious common factor of `z`.

Therefore `5z` can be extracted as a common factor of the two terms.