Regardless of whether a particular division will have a non-zero remainder, this method will always give the right value for what you need on top. The following are webpages that can assist you in the topics that were covered on this page:. Then my answer, from across the top of the division symbol, is:. We need to divide the expression for the volume of the solid by the expressions for the length and width. We can use similar methods to find any of the missing dimensions. So far we have been dividing polynomials with only one variable xbut we can handle polynomials with two or more variables such as x and y using the same method.

### Dividing Polynomials College Algebra

Polynomial division can be used to solve a variety of application problems involving expressions for area and volume. We looked at an application at the. Division of polynomials that contain more than one term has similarities to long division of whole numbers.

We can write a polynomial dividend as the product of. Relates long polynomial division to long division of whole numbers.

College Pre-Algebra · Introductory Algebra · Intermediate Algebra · College Algebra by something more complicated than a one-term polynomial), then you'll need to use a different method for the simplification.

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Scratch work for steps 2, 3 and 4 for the last two terms of the quotient. This is just to show you how the different pieces came about in the final answer.

## Polynomials Long Division

Then I'll draw the horizontal "equals" bar underneath what I've just put underneath the dividend, so I can do the subtraction. We keep going until we can not divide anymore. Show Solution Begin by setting up the synthetic division. How To: Given a polynomial and a binomial, use long division to divide the polynomial by the binomial Set up the division problem. I look at the x from the divisor and the new leading term, the —10 xin the bottom line of the division.

## Long Polynomial Division Purplemath

polynomial division. Polynomials can sometimes be divided using the Divide the first term of the numerator by the first term of the denominator, and.

Dividing by a Polynomial Containing More Than One Term (Long Division) – Practice Problems Move your mouse over the "Answer" to reveal the answer or click. WTAMU Math Tutorials and Help. WTAMU > Virtual Math Lab > College Algebra In this tutorial we are dividing polynomials, but it follows the same Step 2: Divide 1st term of dividend by first term of divisor to get first term.

Let's do one more example with a division that comes out "even", so we can verify our result by doing the factorization and cancellation.

Advertise with Us. Hide Ads About Ads. Polynomials - Long Division A polynomial looks like this: example of a polynomial this one has 3 terms. The difference and the next term will be the new dividend.

Video: College algebra polynomial division word Polynomials - Long Division

I look at the x from the divisor and the new leading term, the —10 xin the bottom line of the division.

Since the remainder on the division above was zero that is, since there wasn't anything left overthe division "came out even".

To subtract the polynomials, I first change all the signs in the second line