For what value of k, is – 3 a zero of the polynomial x^{2} + 11x + k?

Given,

Polynomial x^{2} + 11x + k

Zero of the polynomial = – 3

As we have zero,

f(x) = x^{2} + 11x + k = 0

By putting x = – 3

f( – 3) = – 3^{2} + 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

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