Question

For what value of k, is – 3 a zero of the polynomial x² + 11x + k?

Answer 1

Given, Polynomial

x² + 11x + k

Zero of the polynomial = – 3

As we have zero,

f(x) = x² + 11x + k = 0

By putting x = – 3

f(– 3) = – 3² + 11×3 + k = 0

f(– 3) = 9 + (– 33) + k = 0

f(– 3) = – 24 + k = 0

f(– 3) = k = 24

So we have the value of k = 24