Definition of Rational Expression - Algebra II

Card 0 of 4

Question

Which of the following fractions is NOT equivalent to ?

Answer

We know that is equivalent to or .

By this property, there is no way to get from .

Therefore the correct answer is .

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Question

Simplify:

Answer

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 .

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Question

Determine the domain of

Answer

Because the denominator cannot be zero, the domain is all other numbers except for 1, or

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Question

Which of the following is the best definition of a rational expression?

Answer

The rational expression is a ratio of two polynomials.

The denominator cannot be zero.

An example of a rational expression is:

The answer is:

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