It looks like you meant, [tex]z^2+17z+72[/tex] Break the expression into two groups, that would imply splitting the 17. [tex]=\left(z^2+8z\right)+\left(9z+72\right)[/tex] Let's start factoring. First, factor the [tex]z[/tex] from [tex]z^2+8z[/tex] Then, factor the [tex]9[/tex] from [tex]9z+72[/tex] We would be left with, [tex]=z\left(z+8\right)+9\left(z+8\right)[/tex] Factor out the common term, which is [tex](z+8)[/tex] [tex]=\left(z+8\right)\left(z+9\right)[/tex]
Our final answer would be, [tex]=\left(z+8\right)\left(z+9\right)[/tex]
You can feel free to let me know if you have any questions regarding this! Thanks!
