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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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