Divide Rational Expressions

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Presentation transcript:

Divide Rational Expressions 29. Simplify, Multiply and Divide Rational Expressions

SIMPLIFY: We have done this already when we were graphing! STEPS: 1. factor the _____________ and _______________ 2. cancel out the factors that are the same in the numerator and denominator.

Example Simplify

Example

MULTIPLICATION: Factor, Simplify, Multiply Across Simplify AGAIN

Example Simplify 2

Example x2 + 4x -12 x2 + 11x + 30 x2 - 2x - 35 x + 4  Simplify =  (x + 6)(x + 5) x + 4 = (x – 2)(x – 7) (x + 4)

when dividing by a fraction...you are really DIVIDE: when dividing by a fraction...you are really ___________ by the ___________

Factor each polynomial. Example x2 + 5x + 4 x2 + 4x + 3 x2 + 3x – 4 x2 + 3x  x2 + 5x + 4 x2 + 3x  x2 + 4x + 3 x2 + 3x – 4 (x + 1)(x + 4) x(x + 3) x x – 1 = Factor each polynomial.  (x + 3)(x + 1) (x + 4)(x – 1)