All Algebra II Resources
Example Question #1 : Definition Of Rational Expression
Which of the following fractions is NOT equivalent to ?
We know that is equivalent to or .
By this property, there is no way to get from .
Therefore the correct answer is .
Example Question #2 : Definition Of Rational Expression
Determine the domain of
All real numbers
Because the denominator cannot be zero, the domain is all other numbers except for 1, or
Example Question #3 : Definition Of Rational Expression
This problem is a lot simpler if we factor all the expressions involved before proceeding:
Next let's remember how we divide one fraction by another—by multiplying by the reciprocal:
In this form, we can see that a lot of terms are going to start canceling with each other. All that we're left with is just .
Example Question #4 : Definition Of Rational Expression
Which of the following is the best definition of a rational expression?
The rational expression is a ratio of two polynomials.
The denominator cannot be zero.
An example of a rational expression is:
The answer is: