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Polynomialshard
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A cubic polynomial P(x)P(x)P(x) has the property that when divided by (x−1),(x−2),(x-1), (x-2),(x−1),(x−2), and (x−3)(x-3)(x−3), it leaves remainders of 1,2,1, 2,1,2, and 333 respectively. If P(4)=10P(4) = 10P(4)=10, what is the remainder when P(x)P(x)P(x) is divided by (x−4)(x-4)(x−4)?