It is given that
px+q(x−1)(x+2)2≡2x−1+Bx+2+3(x+2)2\displaystyle \frac{px+q}{(x-1)(x+2)^2}\equiv\frac{2}{x-1}+\frac{B}{x+2}+\frac{3}{(x+2)^2}(x−1)(x+2)2px+q≡x−12+x+2B+(x+2)23,
where BBB, p p\,p and q q\,q are constants.
Find BBB, p p\,p and qqq.
216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.