Definition of Rational Expression - Algebra 2
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Which of the following fractions is NOT equivalent to
?
Which of the following fractions is NOT equivalent to ?
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We know that
is equivalent to
or
.
By this property, there is no way to get
from
.
Therefore the correct answer is
.
We know that is equivalent to
or
.
By this property, there is no way to get from
.
Therefore the correct answer is .
Simplify:

Simplify:
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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
.
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 .
Determine the domain of

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

Because the denominator cannot be zero, the domain is all other numbers except for 1, or
Which of the following is the best definition of a rational expression?
Which of the following is the best definition of a rational expression?
Tap to see back →
The rational expression is a ratio of two polynomials.

The denominator cannot be zero.
An example of a rational expression is:

The answer is:

The rational expression is a ratio of two polynomials.
The denominator cannot be zero.
An example of a rational expression is:
The answer is:
Which of the following fractions is NOT equivalent to
?
Which of the following fractions is NOT equivalent to ?
Tap to see back →
We know that
is equivalent to
or
.
By this property, there is no way to get
from
.
Therefore the correct answer is
.
We know that is equivalent to
or
.
By this property, there is no way to get from
.
Therefore the correct answer is .
Simplify:

Simplify:
Tap to see back →
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
.
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 .
Determine the domain of

Determine the domain of
Tap to see back →
Because the denominator cannot be zero, the domain is all other numbers except for 1, or

Because the denominator cannot be zero, the domain is all other numbers except for 1, or
Which of the following is the best definition of a rational expression?
Which of the following is the best definition of a rational expression?
Tap to see back →
The rational expression is a ratio of two polynomials.

The denominator cannot be zero.
An example of a rational expression is:

The answer is:

The rational expression is a ratio of two polynomials.
The denominator cannot be zero.
An example of a rational expression is:
The answer is:
Which of the following fractions is NOT equivalent to
?
Which of the following fractions is NOT equivalent to ?
Tap to see back →
We know that
is equivalent to
or
.
By this property, there is no way to get
from
.
Therefore the correct answer is
.
We know that is equivalent to
or
.
By this property, there is no way to get from
.
Therefore the correct answer is .
Simplify:

Simplify:
Tap to see back →
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
.
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 .
Determine the domain of

Determine the domain of
Tap to see back →
Because the denominator cannot be zero, the domain is all other numbers except for 1, or

Because the denominator cannot be zero, the domain is all other numbers except for 1, or
Which of the following is the best definition of a rational expression?
Which of the following is the best definition of a rational expression?
Tap to see back →
The rational expression is a ratio of two polynomials.

The denominator cannot be zero.
An example of a rational expression is:

The answer is:

The rational expression is a ratio of two polynomials.
The denominator cannot be zero.
An example of a rational expression is:
The answer is:
Which of the following fractions is NOT equivalent to
?
Which of the following fractions is NOT equivalent to ?
Tap to see back →
We know that
is equivalent to
or
.
By this property, there is no way to get
from
.
Therefore the correct answer is
.
We know that is equivalent to
or
.
By this property, there is no way to get from
.
Therefore the correct answer is .
Simplify:

Simplify:
Tap to see back →
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
.
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 .
Determine the domain of

Determine the domain of
Tap to see back →
Because the denominator cannot be zero, the domain is all other numbers except for 1, or

Because the denominator cannot be zero, the domain is all other numbers except for 1, or
Which of the following is the best definition of a rational expression?
Which of the following is the best definition of a rational expression?
Tap to see back →
The rational expression is a ratio of two polynomials.

The denominator cannot be zero.
An example of a rational expression is:

The answer is:

The rational expression is a ratio of two polynomials.
The denominator cannot be zero.
An example of a rational expression is:
The answer is: