10 1 simplifying rational expressions
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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
10.1 Simplifying Rational Expressions
  • Goal: to simplify a rational expression
simplifying rational expressions
Simplifying Rational Expressions
  • A “rational expression” is the quotient of two polynomials. (division)
simplifying rational expressions1
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 expressions2
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
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
Difference between a factor and an addend
  • A factor is in between a multiplication sign
  • An addend is in between an addition or subtraction sign

Example:

x + 33x + 9

x – 9 6x + 3

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