The remainder theorem tells us the value of a polynomial when `x = a` is the remainder when the polynomial is divided by `x - a`.

We'll use synthetic division to divide by `(x - 4)`:

`4`	`1`	`-24`	`83`	`-4`
		`4`	`-80`	`12`
	`1`	`-20`	`3`	`8`

The last entry of the row is the remainder, `8`.

So the value of `x^3-24 x^2+83 x-4` when `x = 4` is `8`.