Question

If f(x) = 3x³ + 5x² + 5, then what is the remainder when f(x) is divided by
x - 4?

Answer 1

By the remainder theorem, the remainder upon dividing a polynomial
`p(x)` by a linear factor
`x - c` is exactly
`p(c)`.

Then the remainder upon dividing
`f(x)` by
`x - 4` is

`f(4) = 3*4^3 + 5*4^2 + 5 = \boxed{277}`