Partial fractions

Question 1

What are the steps to create partial fractions

Answer 1

A/ one of the factors + B/ the other factor and so on

Question 2

Why do we need to split up the fractions into partial fractions

Answer 2

To help during integration

Question 3

If the denominator of a fraction has a repeated factor how are the fractions split / what will be the denominators of the split fractions

Answer 3

A/ (x+2)^2 + B/x+2 / always one with the squared bracket and then one with the unsquared version

Question 4

How you’re partiallising fractions, what is the first step if the factor of x in the numerator is greater than the factor of x in the denominator

Answer 4

Divide by grid method, the top of the grid goes in front of the new fraction and acts as a constant, then the remainder from the division goes on top of the original denominator and then use partial fractions the new fraction using the usual steps

Question 5

Practice finding the remainder:
3x^3 +2x^2 -10 / x+1

Answer 5

-11

Question 6

What are the steps when the factor of x in the numerator and the denominator are the same

Answer 6

Either
- Grid method, then partial fractions
OR
- Straight into partial fractions