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For what value of k, is – 2 a zero of the polynomial 3x2 + 4x + 2k?
Given,
Polynomial 3x2 + 4x + 2k
Zero of the polynomial = – 2
As we have zero,
f(x) = 3x2 + 4x + 2k = 0
By putting x = – 2
f( – 2) = 3( – 2)2 + 4 ( – 2) + 2k = 0
f( – 2) = 12 – 8 + 2k = 0
= 4 + 2k = 0
= 2k = – 4
k = – 4/2 = – 2
So we have the value of k = – 2