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