P- Partial fractions, denominator with repeated linear factors DF

Question 1

What are partial fractions?

Answer 1

The reverse process to adding/ subtracting algebraic fractions

Question 2

What are 2 types of partial fractions?

Answer 2

1) Linear fractions
2) Repeated linear fractions

Question 3

What are 2 checks you have to do before undertaking the PF?

Answer 3

1) The fraction is rational (power of x on denominator is higher than that of numerator)
2) Denominator must be fully factorised

Question 4

What are 2 things about repeated linear fractions?

Answer 4

1) Need to use comparison to find variables
2) Could lead to 2 PF’s

Question 5

What is comparison when doing repeated linear fractions?

Answer 5

Choose x2’s or x’s, and count how many are in the LHS & RHS and multiply the letter by how many for the RHS, then substitute known values in and move values accordingly