(i)[3]
Determine the quotient when $6x^4 - x^3 - 26x^2 + 4x + 15$ is divided by $(x^2 - 4)$, and check that the remainder is $7$.
(ii)[3]
Hence solve the equation $6x^4 - x^3 - 26x^2 + 4x + 8 = 0$.
Mathematics 9709 · AS & A Level · Algebra
Determine the quotient when $6x^4 - x^3 - 26x^2 + 4x + 15$ is divided by $(x^2 - 4)$, and check that the remainder is $7$.
Hence solve the equation $6x^4 - x^3 - 26x^2 + 4x + 8 = 0$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the correct method or identity to divide as far as the $x$ term in the quotient.” …