One factor it f(x) = 4x3 - 4x2 - 16x + 16 is (x -2). what are all the roots of the function? use the remainder theorem

ANSWER

The roots are -2,1 and 2

EXPLANATION

The given polynomial function is



It was given that, (x-2) is a factor of the polynomial.

From the Remainnder Theorem this implies that f(2)=0.

We can rewrite the given polynomial as;







Hence the other roots are: