Question

If x-2 is a factor of polynomial x^3-2kx^2+16 then find the value of K

Answer 1

if x-2 is factor then
x=2 will satisfy the equation
so putting x=2 in the eq we get
2^3-2k2^2+16=0
8-8k+16=0
-8k=-24
k=-24/-8=3
k=3 ans

hope it helps

Answer 2

(2)^3 -2k (2)^2+16
8-8k+16
24= 8k
k= 24/8
k= 3 ans