help..maths partial fraction

[soumayya]

how do we knw whether to include a constant A when writing the expanded form for partial fraction...
J 08 P3 No. 7(i)

 

[PlanetMaster]

There are a few conditions:

When the denominator is linear:

When the denominator contains a quadratic equation:

When the denominator contains a linear and a quadratic equation:

 

[soumayya]

yh...but in J 08 P3 No. 7(i), the denominator is linear...still in the mark scheme an A is introduced out of nowhere...why..?

 

[Tweety-Angie]

It isnt about linear...the fraction is improper, so constant A is introduced..

 

[soumayya]

didn't understand....hpe we don't get that 2morrow...

 

[PlanetMaster]

Look at my given conditions again and solve that question.
You'll get it!