Express
2x3−5x2−11x+27(x−2)(x−3)\displaystyle \frac{2x^3-5x^2-11x+27}{(x-2)(x-3)}(x−2)(x−3)2x3−5x2−11x+27
in the form
Ax+B+Cx−2+Dx−3\displaystyle Ax+B+\frac{C}{x-2}+\frac{D}{x-3}Ax+B+x−2C+x−3D.
281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.