Express 12x2+33x−37(4x−3)(x+2)\displaystyle \frac{12x^2+33x-37}{(4x-3)(x+2)}(4x−3)(x+2)12x2+33x−37 in the form A+B(4x−3)+C(x+2)\displaystyle A + \frac{B}{(4x-3)} + \frac{C}{(x+2)}A+(4x−3)B+(x+2)C, giving your answer in exact form.
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.