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)

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Counterexample

| Comment 1 of 6

P=x*(x^2-m^2)*(x^2-n^2)*(x-c)

Posted by Ady TZIDON on 2015-05-13 08:32:36

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