Express x+k(x+2)(x+3)\displaystyle \frac{x+k}{(x+2)(x+3)}(x+2)(x+3)x+k in the form A(x+2)+B(x+3)\displaystyle \frac{A}{(x+2)} + \frac{B}{(x+3)}(x+2)A+(x+3)B, giving A A\,A and B B\,B 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.