In this lesson, the concept of long division with polynomials is explained by starting with a refresher on how to do long division with integers. To divide polynomials, you only look at the first term of each polynomial, and divide them as you would with integers. The resulting quotient is written above the corresponding column. This process is repeated until a remainder is obtained, which is then written on top of the dividing polynomial in a fraction. This is a time-consuming process, but by taking it step by step, it can be accomplished successfully.
An explanation of how long division with polynomials works starting with a refresher of how to do long division with integers.
Questions answered by this video:
How do you divide polynomials?
How do you do long division of polynomials?
How do you set up and divide (x^5 + 2x^4 - 5)/(x^2 + 1) using polynomial long division?
What are the steps involved in polynomial long division?
How do you write the remainder for a polynomial long division problem?
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This video goes through an example problem for dividing polynomials using long division. All steps are shown and the process is compared with long division with integers.