Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The polynomial $2x^4 + ax^3 + bx - 1$, with $a$ and $b$ as constants, is called $p(x)$. If $p(x)$ is divided by $x^2 - x + 1$, the remainder is $3x + 2$.
(main)[5]

Determine the values of $a$ and $b$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the division and reach the partial quotient $2x^2+(a\pm2)x$.

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