One dividing a polynomial p(x) by a nonzero polynomial q(x), let g(x) be the quotient and r(x) be the remainder then p(x) = q(x) g(x) + r(x), where
As, we know that
According to the division algorithm on polynomials, we have
either r (x) = 0 or deg r (x) < deg g (x)
Hence, option C is correct