Question 591565
f(x)=x^3-kx^2+2 has the factor x-2.


The factor is x-2

2 is the zero of the function

{{{f(2)= (2)^3-k(2)^2+2}}}


{{{(2)^3-k(2)^2+2}=0}}}

8-4k+2=0

4k=10
x= 10/4
k=5/2