Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

For this question, calculators are not allowed. You are told that the complex number $-1 + \sqrt{3}i$ is a root of the equation $kx^3 + 5x^2 + 10x + 4 = 0$, where $k$ is a real constant.
(i)[1]

State the other root of the equation.

(ii)[6]

Determine the value of $k$ and the third root of the equation.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Answer $-1-\sqrt{3}i$” …

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