P(x) = 5(x 1) (x 2) (x 3) + a(x 1) (x

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P(x) = 5(x – 1) (x – 2) (x – 3) + a(x – 1) (x – 2) + b(x – 1) + c

It is given that when P(x) is divided by each of x – 1, x -2 and x – 3 the remainders are 7, 2 and 1 respectively. Find the values of a, b, and c.

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