How to Divide Polynomials with Long Division? - Long Division of Polynomials - Polynomial long division - Division of Polynomials.
How to do Long Division with Polynomials of same degree?
How to do Long Division with Binomials? Long Division with Polynomials with remainder? Explains how to do Long Division with polynomials step by step?
Polynomials can sometimes be divided using the simple methods shown on Dividing Polynomials. But sometimes it is better to use "Long Division".
Division of Polynomials - The Method:
Write it down neatly: polynomial-long-division; the denominator goes first; then a ")"; then the numerator with a line above.
Both polynomials should have the "higher order" terms first (those with the largest exponents, like the "2" in x2).
Divide the first term of the numerator by the first term of the denominator, and put that in the answer.
Multiply the denominator by that answer, put that below the numerator
Subtract to create a new polynomial
Repeat, using the new polynomial.
Notes: The remainder is what is left over after dividing. But we still have an answer: put the remainder divided by the bottom polynomial as part of the answer.
"Missing" Terms: There can be "missing terms" (example: there may be an x3, but no x2). In that case either leave gaps, or include the missing terms with a coefficient of zero.
More than One Variable: So far we have been dividing polynomials with only one variable (x), but we can handle polynomials with two or more variables (such as x and y) using the same method.
