In the new section Rational Equations and Inequalities, Dr. Eaton first begins with Multiplying and Dividing Rational Expressions. First she begins with simplifying rational expressions by treating them as algebraic fractions and using techniques such as the greatest common factor. Next she moves into factoring with -1. Then Dr. Eaton goes over techniques in factoring polynomials and how to deal with complex fractions. Four video examples at the end detailing simplifying rational expressions will test your knowledge.
To simplify an algebraic fraction, factor the numerator and denominator completely. Then cancel common factors. When multiplying or dividing, do the same thing – factor all the numerators and denominators, then cancel common factors.
If two factors in the numerator and denominator look almost the same, factor –1 out of either of the factors and see if you get two identical factors.
Multiplying and Dividing Rational Expressions
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.