# 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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