Algebra 1 : How to divide polynomials
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Example Questions
Example Question #571 : Intermediate Single Variable Algebra
Subtract:
First let us find a common denominator as follows:
Now we can subtract the numerators which gives us :
So the final answer is
Example Question #102 : Rational Expressions
Simplify:
None of the above
Factor both the numerator and the denominator which gives us the following:
After cancelling 
Example Question #81 : Polynomials
Simplify the following:
We are dividing the polynomial by a monomial. In essence, we are dividing each term of the polynomial by the monomial. First I like to re-write this expression as a fraction. So,
So now we see the three terms to be divided on top. We will divide each term by the monomial on the bottom. To show this better, we can rewrite the equation.
Now we must remember the rule for dividing variable exponents. The rule is 
Example Question #1 : Dividing Polynomials
Divide:
First, rewrite this problem so that the missing 
Divide the leading coefficients:
Multiply this term by the divisor, and subtract the product from the dividend:
Repeat this process with each difference:
One more time:
The quotient is 
Example Question #82 : Polynomials
Divide:
Divide the leading coefficients to get the first term of the quotient:
Multiply this term by the divisor, and subtract the product from the dividend:
Repeat these steps with the differences until the difference is an integer. As it turns out, we need to repeat only once:
Putting it all together, the quotient can be written as 
Example Question #22 : How To Divide Polynomials
Divide the polynomials:
In order to divide these polynomials, we will need to factorize both the top and the bottom expressions.
Cancel out the common terms in the numerator and denominator.
The answer is:
Example Question #82 : Variables
Divide the polynomials 
Write an expression to divide the polynomials.
Both polynomials can be factorized.
The numerator will be simplified to 
The denominator cannot be factorized as is. Pull a common factor of two in the denominator.
The 
We can now rewrite the fraction.
The common 
Distribute the two in the denominator through both terms in the binomial.
The answer is:
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