All I see are remainders

Algebra Level pending

With constants \(A,B\), for the polynomial \(P(x) = x^5 + 2x^3 +Ax + B\) yields a remainder 2 when divided by \(x-1\). When \(P(x)\) is divided by \(x + 3\), the remainder is \( -314\). Find the values of \(A\) and \(B\).

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