Express 2x3+7x2+8x+k(x+1)(x+2)\displaystyle \frac{2x^3+7x^2+8x+k}{(x+1)(x+2)}(x+1)(x+2)2x3+7x2+8x+k in the form Ax+B+C(x+1)+D(x+2)\displaystyle Ax+B + \frac{C}{(x+1)} + \frac{D}{(x+2)}Ax+B+(x+1)C+(x+2)D, giving your answer in terms of kkk, 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.