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Factor Each Expression 1. 2. 3. 4.

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Section 8.4

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Multiplying and Dividing Rational Expressions Remember that a rational number can be expressed as a quotient of two integers. A rational expression can be expressed as a quotient of two polynomials.

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Remember, denominators can not = 0. Now,lets go through the steps to simplify a rational expression.

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Step 1: Factor the numerator and the denominator completely looking for common factors. Next

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What is the common factor? Step 2: Divide the numerator and denominator by the common factor.

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1 1 Step 3: Multiply to get your answer.

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Looking at the answer from the previous example, what value of x would make the denominator 0? x= -1 The expression is undefined when the values make the denominator equal to 0

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How do I find the values that make an expression undefined? Completely factor the original denominator.

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The expression is undefined when: a= 0, 2, and -2 and b= 0. Factor the denominator

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Lets go through another example. Factor out the GCF Next

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1 1

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Now try to do some on your own.

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DAY 2

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Remember how to multiply fractions: First you multiply the numerators then multiply the denominators.

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The same method can be used to multiply rational expressions. 11111 1111

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Let’s do another one. Step #1: Factor the numerator and the denominator. Next

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Step #2: Divide the numerator and denominator by the common factors. 1 1 1 1 1 1

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Remember how to divide fractions?

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Multiply by the reciprocal of the divisor. 1 1 5 4

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Dividing rational expressions uses the same procedure. Ex: Simplify

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1 1 1 1

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Now you try to simplify the expression:

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Now try these on your own.

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Here are the answers:

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