# An algebra problem by Akshat Sharda

Algebra Level 5

Let $$P(x)=\dfrac{x^2+45x+450}{x+3}$$.

Suppose the local minimum value of $$P(x)$$ is $$A$$ and the value of $$x$$ at which $$P(x)$$ is a local minimum is $$B$$.

Find $$A+B$$.

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