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Determine the values of $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let the polynomial $ax^3 + x^2 + bx + 3$ be represented by $p(x)$. You are told that $p(x)$ is divisible by $(2x - 1)$ and that, when $p(x)$ is divided by $(x + 2)$, the remainder is $5$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use $x=\tfrac12$ and set the result to zero (or divide by $2x-1$ and set the remainder to zero)” …
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