# 2018 AMC 12A Problems/Problem 21

### Problem

Which of the following polynomials has the greatest real root?

### Solution

We can see that our real solution has to lie in the open interval . From there, note that if a, b are odd positive integers so , so hence it can only either be B or E(as all of the other polynomials will be larger than the polynomial B). Finally, we can see that plugging in the root of into B gives a negative, and so the answer is . (cpma213)