posted by Junkoping .
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you might use polynomial division?
In both cases, you are continuously dividing and multiplying until the
process is completed.
The difference is you only divide by the
first term of the divisor. But you multiply by both terms of the divisor.
For example, if your divisor was x+4 an4
the first term of your dividend was x^3,
you divide x^3 by x and get x^2. Then you multiply x^2 by x+4,and subtract. Then bring down the next term of the dividend and repeat the process.