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Palindromic Poly

Posted: March 16, 2026

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A palindromic polynomial is a polynomial whose coefficients when written in standard form read the same from left to right as from right to left (for example: 7x^3 +4x^2 +4x +7). If P(x) is a fourth-degree palindromic polynomial with P(-1) = 15, P(0) = 3, and P(1) = 7, what is the value of P(3)?

Problem submitted by Mike Schieffer

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