Question

Find the reminder obtained on dividing p(x)=x^3+1 by x+1

Answer 1

We know a polynomial p(x) divided by (x - a) leaves remainder p(-a).

So the remainder obtained on dividing p(x) = x³ + 1 by x + 1 is p(-1).

p(-1) = (- 1)³ + 1 = - 1 + 1 = 0

Hence 0 is the remainder.