Express k−4x2−x(2x−1)(2−x)\displaystyle \frac{k-4x^2-x}{(2x-1)(2-x)}(2x−1)(2−x)k−4x2−x in the form A+B(2x−1)+C(2−x)\displaystyle A + \frac{B}{(2x-1)} + \frac{C}{(2-x)}A+(2x−1)B+(2−x)C, giving AAA, B B\,B and C C\,C in terms of kkk.
368 exam-style questions on Edexcel A Level Maths Algebraic Methods, covering 1.1 Proof by Contradiction, 1.2 Algebraic Fractions, 1.3 Partial Fractions, 1.4 Repeated Factors, and 1.5 Algebraic Division. Each one has a worked solution and a mark scheme showing where the marks go.