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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 $2x^3 + ax^2 - 11x + b$. It is stated that $p(x)$ has $(2x - 1)$ as a factor and that dividing $p(x)$ by $(x + 1)$ leaves a remainder of $12$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x=\frac12$ and set the result equal to zero (or equivalent division by $2x-1$).” …
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