Rational Expressions and division
When working with rational expressions
- factorise all expressions where possible
- cancel any factors common to the numerator and denominator
To divide by a rational expression you can multiply by its reciprocal.
To add or subtract rational expressions, write each with the same denominator
An algebraic fraction is proper if the degree of the polynomial that is the numerator is less that the degree of the polynomial that is the denominator.
When a polynomial p(x) is divided by d(x), a polynomial that is not a factor of and is a degree less than or equal to p(x), then we can write;
p(x) = q(x) +R(x)