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SMO 2023 Open Round 1 Question 1

SMO · SMO 2023 Open Round 1

Question 1

The graph $C$ with equation $y=\dfrac{ax^2+bx+c}{x+2}$ has an oblique asymptote with equation $y=4x-6$ and one of the stationary points at $x=-4$. Find the value of $a+b+c$.