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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