How to divide polynomials in pre-algebra - High School Math
Card 0 of 11
Simplify:
Simplify:
To divide monomials first you look at the coefficients 
and 
and perform division 
.
To divide the exponents 
and 
you follow the laws of exponents so you subtract the exponents 
. That leaves the answer as 
.
To divide monomials first you look at the coefficients
To divide the exponents
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Simplify 
Simplify
Dividing by a fraction is the same as multiplying by its reciprocal:
becomes 
Simplify the fraction by removing factors that are common to the numerator and the denominator to get
Dividing by a fraction is the same as multiplying by its reciprocal:
Simplify the fraction by removing factors that are common to the numerator and the denominator to get
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What is the quotient when 
is divided by 
?
What is the quotient when
In order to simplify one must distribute the divisor 
into every term of the equation 
.
Distribute.
Divide and simplify.
In order to simplify one must distribute the divisor
Distribute.
Divide and simplify.
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What is 
?
What is
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression 
In this example our answer is 
.
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression
In this example our answer is
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Simplify 
Simplify
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression in this case 
In this example our answer is 
.
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression in this case
In this example our answer is
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Simplify the expression.
Simplify the expression.
We can re-write this expression as a fraction.
To simplify the variable, we subtract the exponent in the denominator from the exponent in the numerator.
Now we can simplify each term.
We can re-write this expression as a fraction.
To simplify the variable, we subtract the exponent in the denominator from the exponent in the numerator.
Now we can simplify each term.
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Simplify 
?
Simplify
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression 
In this example our answer is 
.
When dividing polynomials you subtract the power of the numerator by the power of the denominator.
The answer is the power of the simplified expression
In this example our answer is
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Simplify 
.
Simplify
When dividing monmials with the same base, you subtract the power of the numerator by the power of the denominator 
The answer, 
, is the power of the simplified expression.
In this example our answer is 
.
When dividing monmials with the same base, you subtract the power of the numerator by the power of the denominator
The answer,
In this example our answer is
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Divide the quadratic expression.
Divide the quadratic expression.
We can think of this expression in terms of the distributive property, allowing us to break it into individual terms.
Using this method, we can cancel the 
from each term to get our final answer.
We can think of this expression in terms of the distributive property, allowing us to break it into individual terms.
Using this method, we can cancel the
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Simplify 
Simplify
When dividing like-termed variables, you subtract the power of the numerator by the power of the denominator.
The power of the simplified expression will be 
In this example our answer is 
.
When dividing like-termed variables, you subtract the power of the numerator by the power of the denominator.
The power of the simplified expression will be
In this example our answer is
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Simplify:
Simplify:
Use FOIL to factor the denominator, and then check if any factors cancel:
Use FOIL to factor the denominator, and then check if any factors cancel:
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