(i)[3]
Determine the quotient when $p(x)$ is divided by $(x + 2)$, and prove that the remainder equals $5$.
(ii)[3]
Therefore factorise $p(x) - 5$ fully.
(iii)[1]
Give the roots of the equation $p(|x|) - 5 = 0$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $p(x)$ is given by $p(x) = 8x^3 + 30x^2 + 13x - 25$.
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This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Perform the division, or an equivalent method, at least up to $8x^2+kx$” …
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