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Find values for $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Write the polynomial $ax^3 + 5x^2 - 4x + b$ as $p(x)$, where $a$ and $b$ are constants. You are told that $(x + 2)$ is a factor of $p(x)$ and that the remainder when $p(x)$ is divided by $(x + 1)$ is $2$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=-2$, make the result equal to zero and write a correct equation, for example $-8a+20+8+b=0$” …
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