Question

What is Remainder TheormT

Answer 1

Reminder theorem:
Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number .if p(x) is divided by linear polynomial (x-a),then the remainder is p(a).

If there is a polynomial P(x) = a xⁿ + b xⁿ⁻¹ + ... + g x + h

Then the remainder of division of P(x) by (x - k) is given by P(x=k).

ie., remainder = a kⁿ + b kⁿ⁻¹ + .... + g * k + h

If P(k) = 0 , the n P(x) is divisible by (x - k)

Hope this helps :)