see explanation
Step-by-step explanation:
Given
n² - 23n - 24 = 0
To factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the n- term (- 23)
The factors are - 24 and + 1, since
- 24 × 1 = - 24 and - 24 + 1 = - 23, thus
(n - 24)(n + 1) = 0 ← in factored form