Express −19−12x2+57x(4x−1)(3−x)\displaystyle \frac{-19-12x^2+57x}{(4x-1)(3-x)}(4x−1)(3−x)−19−12x2+57x in the form A+B(4x−1)+C(3−x)\displaystyle A + \frac{B}{(4x-1)} + \frac{C}{(3-x)}A+(4x−1)B+(3−x)C
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.