(i)[5]
Find the values for $a$ and $b$.
(ii)[4]
With these values of $a$ and $b$, solve the equation $p(x) = 0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $p(x)$ represent the polynomial $3x^3 + 2x^2 + ax + b$, with $a$ and $b$ as constants. It is stated that $(x - 1)$ is a factor of $p(x)$, and that the remainder on dividing $p(x)$ by $(x - 2)$ is $10$.
Worked solution & mark scheme
This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Put $x=1$ into the expression, set it equal to zero and produce a correct equation in any form” …
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