Polynomialshard
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Let P(x)P(x) be a polynomial of degree 3 such that P(1)=1P(1) = 1, P(2)=2P(2) = 2, and P(3)=3P(3) = 3. If P(4)=10P(4) = 10, what is the coefficient of x3x^3 in P(x)P(x)?