Partial Fractions (Edexcel A Level Maths: Pure): Exam Questions

Express in partial fractions.

Express

in partial fractions.

Express    in partial fractions.

Express    in partial fractions.

Express    in partial fractions.

Express

in the form

where and  are integers to be found.

Express    in partial fractions.

Express

in partial fractions.

Hence, show that

where is a constant to be found.

Write

in the form 

 where , and  are integers to be found.

A function is given by

(i) Show that .

(ii) Hence write down a factor of .

(i) Show that

(ii) Hence write down a second factor of .

Fully factorise .

Express    in partial fractions.

A function is given by

Find .

Factorise .

Give your answer in the form

where and are integers to be found.

Hence, express

in partial fractions.

Find the values of the constants , and .

Given that can be expression in the form

where , and are constants,

(i) find the value of and the value of ,

(ii) show that .

Write

in the form

where  is an integer to be found.

Express   in the form    where and  are integers to be found.

Hence, write

  in the form

where , and are integers to be found.

Write

in the form

where and are integers to be found.

Using your value of from part (a), write

  in the form 

Hence, write

as the sum of a constant and two partial fractions.

Show that is a factor of  .

Factorise fully .

Hence, express

in partial fractions.

Write

in the form

where , and are integers to be found.

Express

in partial fractions.

Express    in partial fractions.

Show that  is a factor of  .

Factorise fully .

Express 

in the form

where , , and are integers to be found.

Express  in partial fractions.

Write

in the form 

where , and are integers to be found.

Write 

in the form 

where and  are integers to be found.

Express  in partial fractions.

A function is given by

By finding , or otherwise, fully factorise .

Express

in partial fractions.

where is a positive constant

Express in partial fractions in terms of .

Express

in partial fractions.

Express

in partial fractions.

Write

in the form 

where , , and are integers to be found.

Express 

in partial fractions.

Express 

in partial fractions.

Express 

in partial fractions.

Given that 

express 

in partial fractions.