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Polynomialshard
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Let P(x)=x4+ax3+bx2+cx+dP(x) = x^4 + ax^3 + bx^2 + cx + dP(x)=x4+ax3+bx2+cx+d be a polynomial such that P(x)=P(2−x)P(x) = P(2-x)P(x)=P(2−x) for all xxx. Which of the following must be true?