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Find $a$ and $b$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ represent the polynomial $6x^3 + ax^2 + bx - 2$, with $a$ and $b$ as constants. You are told that $(2x + 1)$ is a factor of $p(x)$, and that the remainder when $p(x)$ is divided by $(x + 2)$ is $-24$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x=-\\frac{1}{2}$, set the result equal to zero, and reach a correct equation, e.g. $-\\frac{6}{8}+\\frac{1}{4}a-\\frac{1}{2}b-2=0$” …
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