If (−1) is a zero of the polynomial p(x) = 3x² − 7x + 10k, then the value of k is

Explanation

Since −1 is a zero of p(x) = 3x² − 7x + 10k, substitute x = −1: 3(1) − 7(−1) + 10k = 0. Thus 3 + 7 + 10k = 0, so 10 + 10k = 0 and k = −1.