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.

apparently we have solved correctly different problems:

1. P(M) = P(-M), and:
2. P(N) = P(-N)
3. P’(0) = 0

1. P(M) = P(-M), and:
2. P(N) = P(-N)
3. P(0) = 0

SH solved the posted puzzle, AT - what he saw...

Vive la petite difference!

Posted by Ady TZIDON on 2015-05-13 11:45:46