Question

Factor z2 + 17z + 72.

Answer 1

Hello!

It looks like you meant,

`z^2+17z+72`
Break the expression into two groups, that would imply splitting the 17.

`=\left(z^2+8z\right)+\left(9z+72\right)`
Let's start factoring.
First, factor the
`z` from
`z^2+8z`
Then, factor the
`9` from
`9z+72`
We would be left with,

`=z\left(z+8\right)+9\left(z+8\right)`
Factor out the common term, which is
`(z+8)`

`=\left(z+8\right)\left(z+9\right)`

Our final answer would be,

`=\left(z+8\right)\left(z+9\right)`

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish