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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 defined as $p(x) = x^3 + ax^2 + bx + 16$, where $a$ and $b$ are constants. It is stated that $(x + 2)$ is a factor of $p(x)$ and that the remainder is $72$ when $p(x)$ is divided by $(x - 2)$.