Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial. n³ + 4n² - 9n - 36, n + 3 A) (n + 3)(n² - 7n - 12) B) (n + 3)(n + 3)(n - 4) C) (n + 3)(n² + n - 12) D) (n + 3)(n - 3)(n + 4)

Question

Quizplus · Accepted Answer

Use polynomial long division to divide n³ + 4n² - 9n - 36 by n + 3. The result is n² - 3n - 12. Then factor n² - 3n - 12 as (n - 3)(n + 4). So the entire polynomial can be factored as (n + 3)(n - 3)(n + 4), which means the best choice is D.

Factor the Polynomial Below Completely, Given That the Binomial Following