Question

How do you factor `z^ { 2} + 17z + 52`?

Answer 1

`z^2+17z+52 = (z+13)(z+4)`

Explanation:

Given:

`z^2+17z+52`

Find a pair of factors of `52` with sum `17`.

The pair `13, 4` works in that `13*4=52` and `13+4=17`.

Hence:

`z^2+17z+52 = (z+13)(z+4)`