Question

if x=1 is a zero of the polynomial f(x) =x³-2x²+4x+k. Find the value of k

Answer 1

$f(x) = {x}^{3} - {2x}^{2} + 4x + k \\ f(1) = {1}^{3} - {2 \times 1}^{2} + 4 \times 1 + k \\ \: \: 0 = 1 - 2 + 4 + k \\ 0 = 1 + 2 + k \\ 0 = 3 + k \\ 0 - 3 = k \\ - 3 = k$

Answer 2

(1)³-2(1)+4(1)
=3-2+4
=5
I hope this answer Is correct
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