Express
6x2−x+1(3x−1)(x+1)\displaystyle \frac{6x^2-x+1}{(3x-1)(x+1)}(3x−1)(x+1)6x2−x+1
in the form
A+B3x−1+Cx+1\displaystyle A+\frac{B}{3x-1}+\frac{C}{x+1}A+3x−1B+x+1C
where AAA, B B\,B and C C\,C are integers.
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.