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: ( You must be logged in to post comments.)

Subject	Author	Date
att: Steve ...now all clear	Ady TZIDON	2015-05-13 11:45:46
re: CounterCOUNTER Counter example (spoiler)	Ady TZIDON	2015-05-13 11:41:01
re(2): Counterexample	Charlie	2015-05-13 11:20:47
re: Counterexample	Steve Herman	2015-05-13 08:47:47
Counter Counter example (spoiler)	Steve Herman	2015-05-13 08:35:31
Counterexample	Ady TZIDON	2015-05-13 08:32:36

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