ICD2130 Mon Mor 2022 4. Consider the rational function f defined by 202 e Co Assignment 1 Mo on its maximal domain. 2 ollexe 202 f(2) Monash C olleg (a + 1) (x - 1)2(20 - 3)2 x3 - 5ac2 + 5x + 3 Trimester 2 202 inator into three linear factors. Jon 22 College 2022 (a) Use the Integer Root Theorem and polynomial long division to completely factorise the denom Monash Col (b) Find the Cartesian coordinates of any holes in the curve y = f(x). 2 quotient, R is the remainder, and D is the divisor. d) Find a partial fraction decomposition of D(x) 20 (c) Use polynomial long division to write f(x) in asymptote form Q(x) + , where @ is the olleg discontinuity. Colleg (e) State the equation and nature of each asymptote of the curve y = f(x). alleg Mon 022 Mona XT doc College (f) State the values of x E R where the function f is discontinuous, and the nature of each e Mon 022 sh Colleg 2022 Mathematical Communication: Read the Student Writing Guide for assistance with this. You should 2024 [5+ 2+6 +4+3+3 -23 marks