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Mathematics - Lecture 4: Rational expressions

Mathematics - Lecture 4 "Rational expressions" presents the following content: Simplifying rational expressions, multiplication of rational expressions, division of rational expressions, addition/subtraction of rational expressions, complex fractions. | Rational Expressions Mathematics 17 Institute of Mathematics Lecture 4 Math 17 (Inst. of Mathematics) Rational Expressions Lec 4 1 / 16 Outline 1 Simplifying Rational Expressions 2 Multiplication of Rational Expressions 3 Division of Rational Expressions 4 Addition/Subtraction of Rational Expressions 5 Complex Fractions Math 17 (Inst. of Mathematics) Rational Expressions Lec 4 2 / 16 Rational Expressions Definition A rational expression is a quotient of two polynomials. A rational expression is well-defined if its denominator is not equal to zero. Math 17 (Inst. of Mathematics) Rational Expressions Lec 4 3 / 16 Rational Expressions Definition A rational expression is a quotient of two polynomials. A rational expression is well-defined if its denominator is not equal to zero. Example: 9x2 z 3 ; x2 + y = 0 x2 + y Math 17 (Inst. of Mathematics) Rational Expressions Lec 4 3 / 16 Rational Expressions Definition A rational expression is a quotient of two polynomials. A rational expression is well-defined if its denominator is not equal to zero. Example: 9x2 z 3 ; x2 + y = 0 x2 + y Math 17 (Inst. of Mathematics) 11a2 c + b2 ; c = −5 5+c Rational Expressions Lec 4 3 / .