Question

If f(x) = 3x^4 - 4x − 1, then what is the
remainder when f(x) is divided by
x + 3?

Answer 1

• The remainder is 254

----------------------------------

According to the remainder theorem, the remainder of f(x) / f(x - a) is f(a).

It means the remainder we are looking for is f( - 3):

• f(-3) = 3*(-3)⁴ - 4(- 3) - 1 = 3*81 + 12 - 1 = 254