# How do you find the excluded value and simplify # (x^2-13x+42)/(x+7)#?

The denominator of the rational expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

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Restriction:

None of these linear factors cancel out with the denominator and thus the expression cannot be simplified.

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To find the excluded value, set the denominator equal to zero and solve for x. In this case, x+7=0, so x=-7 is the excluded value. To simplify the expression, factor the numerator as (x-6)(x-7) and cancel out the common factor of (x+7) in the numerator and denominator. The simplified expression is (x-6).

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