Question

If a polynomial f(x) has a remainder of 8 when divided by x-4, what is f(4)?
f(4) =

Answer 1

Answer:
`f(4)=8`

Explanation:

The Remainder Theorem states, "If a polynomial
`p(x)` is divided by the binomial
`x-a`, the remainder obtained is
`p(a)`."

In this case, we are given the polynomial
`f(x)`, and the polynomial
`f(x)` is divided by the binomial
`x-4`. If you were to plug in
`4` for
`x` in
`f(x)`, you would get
`f(4)=8` as a result of the binomial theorem.