Partial Fractions• +/- two or more fractions • convert fractions into partial fractions• convert improper fractions into partial fractions

Review

http://www.mymaths.co.uk/tasks/library/alevel/lib/loadLesson.asp?title=alevel/core4/PartialFractions/partial1Simplify&taskID=2200

An expression with 2 or more linear terms in the denominator can be split into 2 or more simpler fractions

3

+ the fractions

equate the coefficients of the numerators

solve simultaneous eqns

+ the fractions

equate the coefficients

solve simultaneous eqns

METHOD 2 - substitution

+ the fractions

equate the numerators

susbstitute the solns of each denominator for x

An expression with repeated linear terms in the denominator needs to be split into fractions as shown......

Improper Fractions

highest degree of the numerator is equal to or greater than that of the denominator

we must the fraction first to get a whole number and a proper fraction before converting into partial fractions

Express in partial fractions

Summing up