Question

Can someone please help out with this. I know I did the problem incorrectly.

Answer 1

Correct answer: C. -20

Explanation:

If (x-3) is a polynomial factor it means that the polynomial value at point 3 is zero.

H(3) = 3 · 3³ - 2 · 3² + 3k - 3 = 0 ⇒ 81 - 18 + 3k - 3 = 0 ⇒ 3k + 60 = 0

3k = - 60 ⇒ k = - 60/ 3 = - 20

k = - 20

God is with you!!!