(a(i))[5]
Determine the values of $a$ and $b$.
(a(ii))[3]
With these values of $a$ and $b$, determine the remainder when $p(x)$ is divided by $2x^2 - 1$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Write the polynomial $8x^3 + ax^2 + bx + 3$ as $p(x)$, where $a$ and $b$ are constants. You are told that $(2x + 1)$ is a factor of $p(x)$ and that the remainder when $p(x)$ is divided by $(2x - 1)$ is $1$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=-\frac12$ (or divide by $2x+1$) and get a correct equation” …
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