PARTIAL FRACTIONS
Tutorial Manual
MUT
Maths 1
0
, Table of Contents
1 Intended learning outcomes .................................................................................................. 2
2 Introduction.......................................................................................................................... 2
3 Improper fraction.................................................................................................................. 3
4 Forms of partial fractions ....................................................................................................... 4
4.1 Algebraic fraction with linear factors............................................................................... 4
4.2 Algebraic fraction with reducible quadratic factors .......................................................... 5
4.3 Algebraic factors with repeated linear roots .................................................................... 6
4.4 Algebraic factors with irreducible quadratic roots ............................................................ 7
4.5 Algebraic fraction with irreducible repeated quadratic factors.......................................... 9
5 Tutorial questions ................................................................................................................. 9
1
Tutorial Manual
MUT
Maths 1
0
, Table of Contents
1 Intended learning outcomes .................................................................................................. 2
2 Introduction.......................................................................................................................... 2
3 Improper fraction.................................................................................................................. 3
4 Forms of partial fractions ....................................................................................................... 4
4.1 Algebraic fraction with linear factors............................................................................... 4
4.2 Algebraic fraction with reducible quadratic factors .......................................................... 5
4.3 Algebraic factors with repeated linear roots .................................................................... 6
4.4 Algebraic factors with irreducible quadratic roots ............................................................ 7
4.5 Algebraic fraction with irreducible repeated quadratic factors.......................................... 9
5 Tutorial questions ................................................................................................................. 9
1