(a)[2]
Determine the value of $a$.
(b)[3]
With this value of $a$, completely factorise $p(x)$.
(c)[3]
Hence solve the equation $p(\cosec\,\theta) = 0$ for $0^\circ < \theta < 360^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
The polynomial $p(x)$ is given by $p(x) = 6x^3 + ax^2 - 4x - 3$, with $a$ as a constant. It is known that $(x + 3)$ is a factor of $p(x)$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Substitute $x = -3$, set the result to zero and try to solve for $a$” …
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