Question

What​ polynomial, when divided by 7y^3, yields 3y^2-4y+7 as a quotient?

Answer 1

Answer: 21y^5-28y^4+49y^3

If the remainder isn't necessarily zero, we add C_1y^2+C_2y+C_3, which covers all possible remainders when dividing by a polynomial with leading term in y^3.

Explanation:

(3y^2-4y+7)(7y^3) =

21y^5-28y^4+49y^3