Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

The polynomial $x^4 + 2x^3 + ax + b$, with $a$ and $b$ treated as constants, is exactly divisible by $x^2 - x + 1$.
(main)[5]

Find the values for $a$ and $b$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Begin division by $x^2-x+1$ and proceed to a partial quotient of the form $x^2+kx$

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