(i)[3]
Determine the quotient when $x^4 - 2x^3 + 8x^2 - 12x + 13$ is divided by $x^2 + 6$, and show that the remainder equals $1$.
(ii)[3]
Show, by reasoning, that the equation $x^4 - 2x^3 + 8x^2 - 12x + 12 = 0$ has no real roots.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the division and reach at least a partial quotient of the form $x^2+kx$” …
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