Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(i)[3]

Determine the quotient when $8x^3 - 4x^2 - 18x + 13$ is divided by $4x^2 + 4x - 3$, and show that the remainder is $4$.

(ii)[2]

Hence, or by another method, factorise the polynomial $8x^3 - 4x^2 - 18x + 9$.

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, at least as far as a quotient of $2x + k$

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