# Dividing a polynomial

Algebra Level 3

When a polynomial $$P(x)$$ of degree $$n > 2$$ is divided by $$x-3$$, the remainder is 5. When $$P(x)$$ is divided by $$x-1$$, the remainder is 1. Find the remainder when $$P(x)$$ is divided by $$x^2-4x+3$$.

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