10.1 Simplifying Rational Expressions

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# 10.1 Simplifying Rational Expressions - PowerPoint PPT Presentation

10.1 Simplifying Rational Expressions. Goal : to simplify a rational expression. Simplifying Rational Expressions. A “ ratio nal expression ” is the quotient of two polynomials. (division). Simplifying Rational Expressions.

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10.1 Simplifying Rational Expressions
• Goal: to simplify a rational expression
Simplifying Rational Expressions
• A “rational expression” is the quotient of two polynomials. (division)
Simplifying Rational Expressions
• A “rational expression” is the quotient of two polynomials. (division)
• A rational expression is in simplest form when the numerator and denominator have no common factors (other than 1)
Simplifying Rational Expressions
• A “rational expression” is the quotient of two polynomials. (division)
• A rational expression is in simplest Form when the numerator and denominator have no common factors (other than 1)
How to get a rational expression in simplest form…
• Factor the numerator completely (factor out a common factor, difference of 2 squares, bottoms up)
• Factor the denominator completely (factor out a common factor, difference of 2 squares, bottoms up)
• Cancel out any common factors (not addends)
Difference between a factor and an addend
• A factor is in between a multiplication sign