1. Partial Fractions TS: Explicitly assessing information and drawing conclusions Warm-Up: Find numerators for the below fractions to complete the equality

2. Partial Fractions
The separation of a fraction into two or more fractions with a single factor in the denominator.
Note: The degree of the numerator must be strictly lower than that of the denominator to separate into partial fractions
Example:

3. Substitution (of strategic values)
Steps:
i) Factor Denominator
ii) Split into Partial Fractions
iii) Multiply by LCD
iv) Use strategic values to solve for A,B,C, etc.

4. Solving with co-efficients
Steps:
i) Factor Denominator
ii) Split into partial fractions
iii) Multiply by LCD
iv) Distribute A, B,C etc
v) Solve using simultaneous equations

5. Find a Partial Fraction decomposition.

6. Repeated terms & Non-Linear: Resolve into Partial Fractions

7. Oh no! Check out the numerator! What to do?!? Eek!
____________ and sepearate __________ into partial fractions.

8. Now You Try: Separate the below into partial fractions