# Calculus 3 - by Vlad Vasilescu (W)

Level pending

Consider the function $$f : \mathbb R \backslash \{1\} \to \mathbb R$$, $$f(x)=\dfrac {x^2 + ax + b}{x - 1}$$. Find real numbers $$a$$ and $$b$$ such that the graph of the function passes through the point $$(2,8)$$ and the tangent to the graph of the function at $$x=2$$ is parallel with the line $$y = - 3x + 1$$.

Enter your answer as $$\overline{ab}$$.

Example: If you get $$a = 3$$ and $$b = 2$$, your answer should be 32.

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