Step-by-step explanation:
If x = -2 is a zero of the polynomial, the Remainder when the polynomial which is of degree 2 is divided by (x + 2) must be 0.
By the Remainder Theorem, f(x) = 3X²+ 13 x + 14,
f(-2) = 3(-2)² + 13(-2) + 14 = 12 + 14 - 26 = 26 - 26 = 0.
Therefore, x= -2 is the zero of the polynomial.
