Question

Factor z^2 + 17z + 72.

Answer 1

(z + 8)(z + 9)

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

Answer 2

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