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Determine the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is given by $p(x) = x^3 + ax^2 + bx + 16$, with $a$ and $b$ constant. You are told that $(x + 2)$ is a factor of $p(x)$ and that dividing $p(x)$ by $(x - 2)$ leaves a remainder of $72$.