Option 4 : -2

__Concept:__

**Remainder Theorem:** If a polynomial p(x) is divided by (ax - b), then the remainder is \(\rm p\left(\dfrac{b}{a}\right)\).

__Calculation:__

Let's say that p(x) = (x97 - 1).

Comparing the divisor (x + 1) with (ax - b), we can say that \(\rm \dfrac{b}{a}\) = -1.

∴ The remainder is \(\rm p\left(\dfrac{b}{a}\right)\) = p(-1) = [(-1)97 - 1] = -1 - 1 = **-2**.