if x-2 is a factor of polynomial x cube - 2ax square + ax - 1 what is the value of a ??

Answer 1

let f(x) = x^3 - 2ax^2 + ax - 1
if x-2 is a factor, then f(2) = 0
f(2) = 8 -8a + 2a - 1 = 0
-6a = -7
a = 7/6