Express
3x+5(x+1)(x+2)\displaystyle \frac{3x+5}{(x+1)(x+2)}(x+1)(x+2)3x+5
in the form
Ax+1+Bx+2\displaystyle \frac{A}{x+1}+\frac{B}{x+2}x+1A+x+2B
where A A\,A and B B\,B 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.