Question

Find the value of k so that (x + 3) a factor of H(x) = 3x ^ 3 - 2x ^ 2 + kx - 3

Answer 1

Step-by-step explanation:

By Factor Theorem, (x + 3) is a factor of H(x) if and only if H(-3) = 0.

3(-3)³ - 2(-3)² + (-3)k - 3 = 0

-81 - 18 - 3k - 3 = 0

3k = -102

k = -34.