Question

if x=1is a zero of the polynomial f(x)=x^3-2x^2+4x+k find value of k​

Answer 1

Answer:

x=1 is a zero of the polyno mial...

so,p(1)=0

1^3-2.1^2+4.1+k=0

1-2+4+k=0

3+k=0

k=-3

hehehelove to solve the math problem

Answer 2

Answer:

$f(x) = {x}^{3} - 2x^{2} + 4x + k \\ f(1) = {1}^{3} - 2(1)^{2} + 4(1) + k \\ \: \: \: \: \: \: \: \: \: \: = 1 - 2(1) + 4(1) + k \\ \: \: \: \: \: \: \: \: \: \: = 1 - 2 + 4 + k \\ \: \: \: \: \: \: \: \: \: \: = ( - 1) + 4 + k \\ \: \: \: \: \: \: \: \: \: \: = 3 + k \\ given \: that \: 1 \: is \: a \: zero \: of \\ polynomial \: so \: f(1) = 0$

$3 + k = 0 \\ k = ( - 3)$

I hope it is helpful..........................