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Simplify Rational Expressions

# Simplify Rational Expressions - Rational Expression A...

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Rational Expression A rational expression is one that can be written in the form where P and Q are polynomials and Q does not equal 0. An example of a rational expression is: Domain of a Rational Expression With rational functions, we need to watch out for values that cause our denominator to be 0. If our denominator is 0, then we have an undefined value. So, when looking for the domain of a given rational function, we use a back door approach. We find the values that we cannot use, which would be values that make the denominator 0. Example 1 : Find all numbers that must be excluded from the domain of .

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View a video of this example Our restriction is that the denominator of a fraction can never be equal to 0. So to find what values we need to exclude, think of what value(s) of x , if any, would cause the denominator to be 0. *Factor the den. This give us a better look at it. Since 1 would make the first factor in the denominator 0, then 1 would have to be excluded. Since - 4 would make the second factor in the denominator 0, then
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Simplify Rational Expressions - Rational Expression A...

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