Answer:
d
Step-by-step explanation:
Given
x³ - 13x² - 30x ← factor out x from each term
= x(x² - 13x - 30) ← factor the quadratic
Consider the factors of the constant term (- 30) which sum to give the coefficient of the x- term (- 13)
The factors are - 15 and + 2, since
- 15 × 2 = - 30 and - 15 + 2 = - 13, thus
x² - 13x - 30 = (x + 2)(x - 15) and
x³ - 13x² - 30x = x(x + 2)(x - 15) → d
