Y by
Given the polynomial
, where
are real numbers. Suppose that
has three distinct real roots and the polynomial
has no real roots. Prove that
![\[
P(1) > 69^3.
\]](//latex.artofproblemsolving.com/2/a/4/2a49f9db6af78d720d5a657737625c011a1b554a.png)




![\[
P(1) > 69^3.
\]](http://latex.artofproblemsolving.com/2/a/4/2a49f9db6af78d720d5a657737625c011a1b554a.png)
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