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10.1 Simplifying Rational Expressions

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

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  1. 10.1 Simplifying Rational Expressions • Goal: to simplify a rational expression

  2. Simplifying Rational Expressions • A “rational expression” is the quotient of two polynomials. (division)

  3. 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)

  4. 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)

  5. 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)

  6. 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

  7. Factor

  8. Mrs. Rodriguez’s Shortcut a-b = -1 b-a

  9. Page 4342-30 even

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