Factor z^2 + 17z + 72.

it would be (z+8) (z+9) to this question

(z + 8) (z + 9)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term ( + 72) which sum to give the coefficient of the z - term ( + 17)

The factors are + 8 and + 9

since 8 * 9 = 72 and 8 + 9 = 17, hence

z² + 17z + 72 = (z + 8) (z + 9) ← in factored form