R7 Rational Expressions. Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

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Presentation transcript:

R7 Rational Expressions

Rational Expressions An expression that can be written in the form P/Q, where P and Q are polynomials and Q is not equal to zero.

Rational Expressions 1.Factor each expression completely 2.List any restrictions on the variables in the denominator 3.Divide out any common factors 4.Simplify and leave your answer in factored form

Simplify each rational expression and list any restrictions

Multiplying and Dividing Rational Expressions 1.Change division to multiplication of inverse 2.Factor each expression completely 3.Divide out any common factors 4.Simplify and leave answer in factored form

Perform the indicated operation and simplify

Adding and Subtracting Rational Expressions 1.Factor each denominator completely 2.Find the LCM of the denominators 3.Multiply each term by the LCM 4.Simplify the numerator 5.The denominator is the LCM 6.Simplify and leave your answer in factored form

Perform the indicated operation and simplify

Complex Rational Expressions 1.Factor each denominator completely 2.Find the LCM 3.Multiply numerator/denominator by LCM 4.Combine your like terms 5. Simplify and leave your answer in factored form

Perform the indicated operation and simplify