Express kx−13(x−1)(x−3)2\displaystyle \frac{kx-13}{(x-1)(x-3)^2}(x−1)(x−3)2kx−13 in the form A(x−1)+B(x−3)+C(x−3)2\displaystyle \frac{A}{(x-1)} + \frac{B}{(x-3)} + \frac{C}{(x-3)^2}(x−1)A+(x−3)B+(x−3)2C, giving your answers 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.