Janna Hi! I have two questions involving dividing polynomials by polynomials. Here's the first one: Thanks a lot for your help! Hi Janna,I would first calculate (a  2)(2a + 1 ) = 2 a^{2}  a  2. Since (a  2) and (2a + 1) are factors of your quartic polynomial there are integers p, q and r so that If you expand the right side by multiplication then the coefficient of a^{4} is 2p. But the coefficient of a^{4} on the left side is 12. Thus 2p = 12 and hence p = 6. In a similar fashion, the constant term on the right side is 2r and the constant on the left side is 12. Thus r = 6. Now find the coefficient of a on the right and left sides, set them equal and solve for q. Once you have p a^{2} + q + r you can factor it to answer the question asked. You can approach problem 2 is a similar way. Since the division Penny
