In each of the following, using the remainder Theorem, find the remainder when f(x) is divided by g(x) and verify the result y actual division.
f(x) = x4−3x2+4, g(x) = x - 2
f(x) = x3+4x2−3x+10, g(x) = x + 4
By actual division, find the quotient and the remainder when (x4+1) is divided by (x - 1). Verify that remainder = f(1).