Answer:
(x + 2)(x - 7)
Explanation:
Given
x² - 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)
The factors are + 2 and - 7, since
2 × - 7 = - 14 and 2 - 7 = - 5, thus
x² - 5x - 14 = (x + 2)(x - 7)