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

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


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