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Determine the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ represent the polynomial $2x^3 + ax^2 + bx + 6$, in which $a$ and $b$ are constants. If $p(x)$ is divided by $(x + 2)$, the remainder is $-38$; if it is divided by $(2x - 1)$, the remainder is $\frac{19}{2}$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Replace $x=-2$ and write down a correct evaluated equation.” …
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