This is not the document you are looking for? Use the search form below to find more!

Report

# Adding and Subtracting Polynomials

Document Description
File Details
Submitter
Embed Code:

#### Add New Comment

Related Documents

## Adding And Subtracting Rational Expressions

by: mahesh4528, 3 pages

Adding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting Rational ExpressionsAdding And Subtracting ...

## Adding And Subtracting Rational Expressions

by: storysubmission11, 9 pages

1. Simplify the expression. 5x2x­1­2xx+2 a. x + 12(2x ­ 1)(x + 2) b. x(x + 12)(2x ­ 1)(x + 2) c. x(3x + 12)(2x ­ 1)(x + 2) d. x(x ...

## Adding & Subtracting Fractions With Different Denominators

by: erin, 5 pages

Adding & Subtracting Fractions with Different Denominators By JP 2/6 + 3/8 First you have to find a common Denominator for 2/6 & 3/8. In this case the common ...

## 2 24 Adding & Subtracting Fractions With Unlike Denominators

by: alfredina, 21 pages

Adding & Subtracting Fractions with unlike denominators12/8/09EQ: How do I add & subtract fractions when the denominator is different? 12/8/20091Bitsy ...

## Multiplying Rational Expressions

by: storysubmission11, 6 pages

Learn about multiplying rational expressions concept. A rational expression is a polynomial term which in the form of fraction. It may be any type of polynomial such as monomial, trinomial ...

## Operations on Polynomials

by: elita, 12 pages

Polynomials Adding and Subtracting Polynomials Adding Polynomials To add polynomials, combine like terms. + + + = = 2 2 2 Does not = Example ...

## Adding Subtracting Integers

by: ryan, 46 pages

Interesting Integers! What You Will Learn Some definitions related to integers. Rules for adding and subtracting integers. A method for ...

## Add and Subtract Decimals

by: angus, 7 pages

Adding and Subtracting Decimals Mrs. Young EMC 1 Objective To add and subtract decimals Find the sum of 5.78 + 4.46 Step 1: Line up the decimal points and ...

## Add and Subtract Deciamls

by: birgit, 11 pages

Adding and Subtracting Decimals Follow these rules ? Find the decimal Line up decimals Fill in empty spots with zeros ...

## Adding & Subtraction Fractions with unlike denom

by: fadheela, 31 pages

ractions ubtracting dding & Adding & Subtracting Fractions Teacher Notes: Use this presentation to teach the steps for adding and subtracting fractions with unlike ...

Content Preview
Adding and Subtracting Polynomials
Adding and Subtracting Polynomials
Adding polynomials is just a matter of combining like terms, with some order of operations
considerations thrown in. As long as you're careful with the minus signs, and don't confuse addition and
multiplication, you should do fine. There are a couple formats for adding and subtracting, and they
hearken back to earlier times, when you were adding and subtracting just plain old numbers. First, you
learned addition "horizontally", like this: 6 + 3 = 9. You can add polynomials in the same way,
grouping like terms and then simplifying. Simplify (2x + 5y) + (3x - 2y) I'll clear the parentheses,
group like terms, and then simplify:
(2x + 5y) + (3x - 2y)
= 2x + 5y + 3x - 2y
= 2x + 3x + 5y - 2y
= 5x + 3y
Horizontal addition works fine for simple examples. But when you were adding plain old numbers, you
didn't generally try to add 432 and 246 horizontally; instead, you would "stack" them vertically, one on
top of the other, and then add down the columns: was the x3 column, the second column was the x2
column, the third column was the x column, and the fourth column was the constants column.
Know More About :- Rational Expressions

Math.Edurite.com
Page : 1/3

You can do the same thing with polynomials. This is how the above simplification exercise looks when
it is done "vertically": Simplify (2x + 5y) + (3x - 2y) , I'll put each variable in its own column; in this
case, the first column will be the x-column, and the second column will be the y-column: I get the same
solution vertically as I got horizontally: 5x + 3y. The format you use, horizontal or vertical, is a matter
of taste (unless the instructions explicitly tell you otherwise). Given a choice, you should use whichever
format that you're more comfortable and successful with. Note that, for simple additions, horizontal
addition (so you don't have to rewrite the problem) is probably simplest, but, once the polynomials get
complicated, vertical is probably safest bet (so you don't "drop", or lose, terms and minus signs).
Subtracting polynomials is quite similar to adding polynomials, but you have that pesky minus sign to
deal with. Here are some examples, done both horizontally and vertically:
Simplify (x3 + 3x2 + 5x - 4) - (3x3 - 8x2 - 5x + 6)
The first thing I have to do is take that negative through the parentheses. Some students find it helpful
to put a "1" in front of the parentheses, to help them keep track of the minus sign:
Horizontally:
(x3 + 3x2 + 5x - 4) - (3x3 - 8x2 - 5x + 6)
= (x3 + 3x2 + 5x - 4) - 1(3x3 - 8x2 - 5x + 6)
= (x3 + 3x2 + 5x - 4) - 1(3x3) - 1 (-8x2) - 1(-5x) - 1(6)
= x3 + 3x2 + 5x - 4 - 3x3 + 8x2 + 5x - 6
= x3 - 3x3 + 3x2 + 8x2 + 5x + 5x - 4 - 6
= -2x3 + 11x2 + 10x -10
In the horizontal case, you may have noticed that running the negative through the parentheses changed
the sign on each term inside the parentheses. The shortcut here is to not bother writing in the subtaction
sign or the parentheses; instead, you just change all the signs in the second row.

Math.Edurite.com
Page : 2/3

ThankYou
Math.Edurite.Com

# Document Outline

• ﾿

Adding and Subtracting Polynomials

If it doesn't, click here to try again.

Share Adding and Subtracting Polynomials to:

Insert your wordpress URL:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Adding and Subtracting Polynomials as:

From:

To:

Share Adding and Subtracting Polynomials.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

Share Adding and Subtracting Polynomials as:

Copy html code above and paste to your web page.