If one zero of the quadratic polynomial kx^{2} + 3x + k is 2 then the value of k is

Given: 2 is the zero of the polynomial f(x) = kx^{2} + 3x + k

Put f(2) = 0

k(2)^{2} + 3(2) + k = 0

4k + 6 + k = 0

Hence, option D is correct.