HMMT November 2010 E5

A polynomial $P$ is of the form $\pm x^{6} \pm x^{5} \pm x^{4} \pm x^{3} \pm x^{2} \pm x \pm 1$ . Given that $P(2)=27$ , what is $P(3)$ ?

Dataset text NuminaMath olympiads. Quoted with source.

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