If x = 1 is a zero of the polynomial f (x) = x3 – 2x2 + 4x + k, write the value of k.
Given,
f(x) = x3 – 2x2 + 4x + k
x = 1 is a zero,
So,
Keeping x = 1 we get,
f(1) = 13 – 2(1)2 + 4×1 + k
f(1) = 1 – 2 + 4 + k
f(1) = 5 – 2 + k
f(1) = 3 + k
– 3 = k
So we get,
k = – 3