Answer:
(z - 9)(z + 6)
Explanation:
Given
z² - 3z - 54
Consider the factors of the constant term (- 54) which sum to give the coefficient of the z- term (- 3)
The factors are - 9 and + 6, since
- 9 × 6 = - 54 and - 9 + 6 = - 3 , thus
z² - 3z - 54 = (z - 9)(z + 6)