If 4 is a zero of the polynomial p(x) = −2x² + 3x + 5k, then the value of k is:

Explanation

Since 4 is a zero of p(x) = −2x² + 3x + 5k, substitute x = 4: −2(16) + 12 + 5k = 0. This gives −32 + 12 + 5k = 0, or 5k = 20. Therefore, k = 4.