Express 2k−4x2+(4−k)x−1(2x−1)(2−x)\displaystyle \frac{2k-4x^2+(4-k)x-1}{(2x-1)(2-x)}(2x−1)(2−x)2k−4x2+(4−k)x−1 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, where k k\,k is a constant.
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.