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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.
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 expression has a value of either true or false?
In C, any non-zero expression is true and any zero expression is false.
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.
Why can't the denominators of rational expressions be zero How can we find the domain of a rational function?
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.
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.
Can two fractions with the same numerator and different denominators be equal?
Only if the numerator is zero,
How do you find the LCD in rational expression?
Factor each of the denominators. Make up an expression that includes all of the factors in the denominators. Example (using "^" for powers):If you have denominators (x^2 - 1), (x-1)^2 and (x+1), factor the first expression, to get denominators: (x+1)(x-1), (x-1)^2 and (x+1). Taking each factor that appears at least once, you get the common denominator: (x+1)(x-1)^2. Note: If a factor, as in this case x-1, appears more than once in one of the expressions, you need to use the highest power.
How are a common denominator and common multiple different?
Common denominators are common multiples that are being used as denominators.
When a denominator is zero is the expression undefined?
That is correct.
What do you when your subtracting fractions with unlike denominators and when you subtract your numerator is zero?
If the numerator of a fraction is zero, it doesn't need to be converted to a common denominator because its value is actually zero (zero by anything divided is zero), so you should drop it from the equation.
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.
What can't you have in the denominator?
A zero. Zero in the denominator make the expression undefined for algebraic purposes.
