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R7 Rational Expressio ns

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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Page 1: 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

R7 Rational

Expressions

Page 2: 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

An expression that can be written in the form P/Q, where P and Q are polynomials and Q

is not equal to zero.

Page 3: 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 Expressions1. 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

Page 4: 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

Simplify each rational expression and list any

restrictions

Page 5: 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

Simplify each rational expression and list any

restrictions

Page 6: 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

Multiplying and Dividing Rational

Expressions1. 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

Page 7: 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

Perform the indicated operation and simplify

Page 8: 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

Perform the indicated operation and simplify

Page 9: 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

Perform the indicated operation and simplify

Page 10: 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

Perform the indicated operation and simplify

Page 11: 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

Adding and Subtracting

Rational Expressions1. 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

Page 12: 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

Perform the indicated operation and simplify

Page 13: 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

Perform the indicated operation and simplify

Page 14: 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

Perform the indicated operation and simplify

Page 15: 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

Perform the indicated operation and simplify

Page 16: 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

Perform the indicated operation and simplify

Page 17: 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

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

Page 18: 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

Perform the indicated operation and simplify

Page 19: 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

Perform the indicated operation and simplify

Page 20: 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

Perform the indicated operation and simplify