(i)[3]
Find the quotient together with the remainder when $2x^3 - 7x^2 - 9x + 3$ is divided by $x^2 - 2x + 5$.
(ii)[2]
Hence find the values of the constants $p$ and $q$ for which $x^2 - 2x + 5$ is a factor of $2x^3 - 7x^2 + px + q$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Carry out the division, or an equivalent method, until you have reached at least a quotient of the form $2x+k$.” …
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