Question

if X=1 is a zero of a polynomial P(X)= x³-2x²+4x+k write the value of k​

Answer 1

Substitute the value of x in the eqn.

p(x) = x³ - 2x² + 4x + k

p(1) = (1)³ - 2(1)² + 4(1) + k

0 = 1 - 2 + 4 + k

0 = 3 + k

k = -3