Question

PLEASE HELP ASAP
Write a polynomial of the smallest degree with roots 1, -3, and 4.

Answer 1

x^3 - 2x^2 - 11x +12

Explanation:

If 1 is a root, then x-1 is a factor

If -3 is a root, then x+3 is a factor

If 4 is a root, then also x-4 is a factor

A product of the three factors gives us the polynomial

(x-1)(x+3)(x-4) = (x^2 +2x - 3)(x-4)

= x^3 - 2x^2 - 11x +12