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What happens if you are checking a solution for the rational expression and find that it makes one of the denomiators equal to zero?
If one of the denominators becomes equal to zero when checking a solution for a rational expression, it means that the expression is undefined at that point. This is because division by zero is not defined in mathematics. Therefore, the solution you found is not valid for that rational expression.
What causes numerator of a expression to equal zero?
When the numerator of any expression or fraction is zero then the result is zero because zero divided by any number is always equal to zero.
How do you simplify an algebraic expression that has fractions?
Multiply every term in the expression by the least common multiple of all the denominators. That will get rid of all fractions.
When a denominator is zero is the expression undefined?
That is correct.
Why is the denominator set to zero to graph a rational expression?
When the denominator is equal to zero, the expression is undefined. Close to those places, the expression tends towards plus infinity, or minus infinity. In other words, setting the denominator to zero will tell you where there are vertical asymptotes.
