(a(i))[4]
Find the quotient and remainder when $f(x)$ is divided by $x^2 + x - 1$.
(a(ii))[2]
Use the factor theorem to prove that $(x + 1)$ is a factor of $f(x)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The polynomial $x^3 + 3x^2 + 4x + 2$ is represented by $f(x)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Begin the division by $x^2+x-1$ so that the quotient is in the form $x+k$” …
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