(i)[4]
Find the quotient obtained when $3x^3 + 5x^2 - 2x - 1$ is divided by $(x-2)$, and show that the remainder comes to $39$.
(ii)[3]
Hence show that the equation $3x^3 + 5x^2 - 2x - 40 = 0$ has exactly one real root altogether.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the division, or an equivalent process, at least as far as a quotient of $3x^2+kx$” …
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