Problema Solution

Use the remainder theorem to:

find the remainder when f(x) is divided by x – c, and

determine whether x – c is a factor of f(x).

Please show all of your work.

f(x)=x^4-12x^2-64;x-4

Answer provided by our tutors

The remainder when f(x) is divided by (x-c) is equal to f(c); therefore the remainder is equal to f(4), and the answer is 44 - 12(42) - 64 = 256 - 192 - 64 = .