**Simplifying Algebraic Fractions**

This is as in

The rule is to

*in*__C2____AS__The rule is to

**factorise**and then**cancel out**. If a fraction is involved as part of the denominator or numerator, multiply it out so to make it simpler.**Adding and Subtracting Algebraic Fractions**

To add fractions the

In algebraic fractions, as in fractions with numbers, when the denominator is affected so is the numerator.

**denominator needs to be the same**.In algebraic fractions, as in fractions with numbers, when the denominator is affected so is the numerator.

The

**same principle**can be applied to**subtraction****Algebraic Division**

This, however, takes longer and can become complicated

The other method is called the

The equation used is

F(x) ≡

The other method is called the

**Remainder Theorem...**but not as we know itThe equation used is

F(x) ≡

**Q(x) x divisor + remainder**Don't immediately be put off. Taken apart it makes sense

Q(x) is the

The quotient plus the remainder is the results of the division

The quotient is dependent on the divisor and function

For Example:

Q(x) is the

**quotient**The quotient plus the remainder is the results of the division

The quotient is dependent on the divisor and function

For Example:

From here you need to put the

**RHS in the form of the LHS**Now place these values into the quotient and remainder