A student writes
4x2−5x(x+1)(x−2)2≡Ax+1+B(x−2)2\displaystyle \frac{4x^2-5x}{(x+1)(x-2)^2}\equiv\frac{A}{x+1}+\frac{B}{(x-2)^2}(x+1)(x−2)24x2−5x≡x+1A+(x−2)2B.
Explain the error in the proposed form of the partial fractions.
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.