# Polynomial Remainder Theorem

Algebra Level pending

Given that function $$P(x)={ x }^{ 4 }-3{ x }^{ 3 }+m{ x }^{ 2 }+n{x}+2$$. When $$P(x)$$ is divided by $$x-2$$, the remainder is 6. When $$P(x)$$ is divided by $$x-1$$, the remainder is 4. Find the value of $$m+n$$.

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