Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(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 $6x^4 - x^3 - 26x^2 + 4x + 8 = 0$.

Worked solution & mark scheme

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.

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