Find the value of a, the value of b and the value of c. P(x) = 3(x

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Find the value of a, the value of b and the value of c.

P(x) = 3(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 −2, 2 and 10, respectively.

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