Simplifying Algebraic Fractions
This is as in C2 in 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.
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 denominator needs to be the same.
In algebraic fractions, as in fractions with numbers, when the denominator is affected so is the numerator.
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 Remainder Theorem... but not as we know it
The equation used is
F(x) ≡ Q(x) x divisor + remainder
The other method is called the Remainder Theorem... but not as we know it
The 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 quotient
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