(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 $8x^3 - 4x^2 - 18x + 9$.
Mathematics 9709 · AS & A Level · Algebra
Determine the quotient when $8x^3 - 4x^2 - 18x + 13$ is divided by $4x^2 + 4x - 3$, and show that the remainder is $4$.
Hence, or by another method, factorise the polynomial $8x^3 - 4x^2 - 18x + 9$.
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 $2x + k$” …