A student writes
4x−5(x+1)(x−2)2≡Ax+1+B(x−2)2\displaystyle \frac{4x-5}{(x+1)(x-2)^2}\equiv\frac{A}{x+1}+\frac{B}{(x-2)^2}(x+1)(x−2)24x−5≡x+1A+(x−2)2B.
Explain why this is not the complete partial-fraction form.
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.