For what value of k, is - 2 is a zero of the polynomial 3x^2 + 4x + 2k?

Explanation:

Given that, - 2 is a zero of polynomial 3x² + 4x + 2k

Then at x = - 2, the value of the polynomial will be zero.

3 × (-2)² + 4 × (-2) + 2k = 0

3 × 4 – 8 + 2k = 0

4 + 2k = 0

2k = -4

k = -4/2

k = -2

Final Answer:

Hence the value of k = -2.