Express
2x2+7x+1x+3\displaystyle \frac{2x^2+7x+1}{x+3}x+32x2+7x+1
in the form
Ax+B+Cx+3\displaystyle Ax+B+\frac{C}{x+3}Ax+B+x+3C
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.