For what value of k, is 3 a zero of the polynomial 2x2 + x + k?
Given,
Polynomial 2x2 + x + k
Zero = 3
By putting x = 3
We get,
p(x) = 2x2 + x + k = 0
p(3) = 2(3)2 + 3 + k = 0
p(3) = 18 + 3 + k = 0
= 21 + k = 0
k = – 21
Hence the answer is – 21