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Sextic Settlement (Posted on 2015-05-13) Difficulty: 2 of 5
P is a polynomial of degree 6. M and N are two real numbers with 0 < M < N. Given that:
  1. P(M) = P(-M), and:
  2. P(N) = P(-N)
  3. P’(0) = 0
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 all clearAdy TZIDON2015-05-13 11:45:46
Some Thoughtsre: CounterCOUNTER Counter example (spoiler)Ady TZIDON2015-05-13 11:41:01
re(2): CounterexampleCharlie2015-05-13 11:20:47
re: CounterexampleSteve Herman2015-05-13 08:47:47
SolutionCounter Counter example (spoiler)Steve Herman2015-05-13 08:35:31
CounterexampleAdy TZIDON2015-05-13 08:32:36
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