One factor of f(x)=4x^3-4x^2-16x+16 is (x – 2). what are all the roots of the function? use the remainder theorem.
a. x=1, x=2, or x=4
b. x=-2, x=1, or x=2
c. x=2, x=4, or x=16
d. x=-16, x=2, or x=16

Solution:

One of the factor is (x-2).

we can apply the remainder theorem as below

Hence the factors are (x+2),(x-1) and (x-2).

Hence the correct option is B.

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step-by-step explanation: