Section P6 Rational Expressions 1

What numbers must be excluded from the domain? rational expression the quotient of two polynomials. the domain of the expression the set of real numbers for which an algebraic expression is defined Undefined domain we must exclude numbers from a that make the denominator zero. Example What numbers must be excluded from the domain? 2

Simplifying Rational Expressions Example Simplify and indicate what values are excluded from the domain: 3

Simplify and indicate what values are excluded from the domain: Example Simplify and indicate what values are excluded from the domain: 4

Multiplying Rational Expressions Example Multiply and Simplify: 5

Dividing Rational Expressions We find the quotient of two rational expressions by inverting the divisor and multiplying. Example Divide and Simplify: 6

P.74 # 2 – 30 e.o.e. 7