Question

Select the correct answer.

Answer 1

D

Explanation:

Since polynomial long division is a pain to explain in words, here's a nice trick for problems where you know the answer has no remainder and you are dividing a polynomial by any x-a where x has a coefficient of 1.

The first term of the quotient will be the first term of the dividend lowered by one power, and any constant at the end of the dividend will end up as a constant at the end of the quotient, where the final constant is the first constant/-a. With this trick you can shortcut your way to the answer. Since the quotient must start with 3
`x^(4)` and end with +5, D must be the answer.