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`	`-14`	`20`	`83`
		`4`	`-40`	`-80`
	`1`	`-10`	`-20`	`3`

The last entry of the row is the remainder, `3`.

So the value of `x^3-14 x^2+20 x+83` when `x = 4` is `3`.