Answer the following questions about rational functions with repeated linear factors.
MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Answer the following questions about rational functions with repeated linear factors.
(i) Define a proper rational function.
(ii) Write the most general form in which a rational function (x−3)3P(x) with degP(x)≤2 can be expressed when it is split into simpler fractional terms.
(iii) State any two algebraic checks that must be performed before carrying out such a decomposition.