perplexus.info :: Just Math : Sextic Settlement

Sextic Settlement (Posted on 2015-05-13)

P is a polynomial of degree 6. M and N are two real numbers with 0 < M < N. Given that:

Does the relationship P(x) = P(-x) hold for all nonzero real values of x?
If so, prove it.
If not, provide a counterexample.

See The Solution Submitted by K Sengupta

Rating: 4.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Counterexample

| Comment 4 of 6 |

(In reply to re: Counterexample by Steve Herman)

I think you mean the third condition rather than the first.

Posted by Charlie on 2015-05-13 11:20:47

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info