Question

give one example of polynomials p(x), g(x), q(x) and r(x), which satisfy the division algorithm p(x) = g(x) × q(x) + r(x) ; deg. r(x) < g(x) and deg. p(x) = deg. g(x) +1.

Please answer this question.

Answer 1

example for
p(x) = g(x) × q(x) + r(x) is
19 = 2 × 9 + 1