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Simplifying Rational Functions with Factoring and GCFs - Problem 10


To reduce a fraction, you need to re-write both top and bottom in most factored form and then look for common factors on top and bottom to cross out. If the degree, or highest exponent of your polynomials is greater than two, there's a good chance you'll need to factor out some greatest common factor involving x, as we show here. Once the bottom is fully factored, set each factor equal to zero and solve for x to find any excluded values, which are values of x that would have you dividing by zero. Use factors of the original denominator to find all of the excluded values.

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