Welcome

It is highly recommended that you have Javascript enabled; many features will not work unless you do. The recommended browsers are Firefox and Chrome; the board is also NOT mobile-friendly.

If you were referred by someone (ex. me, Jessica) please put their username in the referral box on the registration page. Ask them if you don't know their username.

If you are visiting for TESTING PURPOSES ONLY, this is the test account information:

Test

Select a forum to post in:

## Polynomials

Math topics

Moderators: Jessica, Teachers

Looking for a topic?
View the Math Topics Directory to find topics quicker under different kinds of math.

### Polynomials

Adding polynomials is just a matter of combining like terms, with some order of operations considerations thrown in.

Simplify (2x + 5y) + (3x – 2y)

= 2x + 5y + 3x – 2y

= 2x + 3x + 5y – 2y

= 5x + 3y

Subtracting Polynomials

Simplify (x[super]3[/super] + 3x[super]2[/super] + 5x − 4) − (3x[super]3[/super] − 8x[super]2[/super] – 5x + 6)

Change minus sign to a plus, and change to opposite sign in polynomial after that plus

(x[super]3[/super] + 3x[super]2[/super] + 5x − 4) + (3x[super]3[/super] + 8x[super]2[/super] + 5x 6)

answer: −2x[super]3[/super] + 11x[super]2[/super] + 10x – 10
• 0

Tales of Ostlea :
Dragon Cave :
Magistream :

Jessica
Board Owner
Topic Author

Sapphire

Posts: 3,470
Topics: 1,244
Articles: 30
Joined: December 22nd, 2010, 8:04 pm

### Re: Polynomials

Multiplying Polynomials

Simplify (5x[super]2[/super])(–2x[super]3[/super])

Apply rules of exponents, negative numbers, and variables

(5x[super]2[/super])(–2x[super]3[/super]) = -10x[super]5[/super]

Simplify (x + 3)(x + 2)

answer: x[super]2[/super] + 5x + 6

FOIL

There is also a special method, useful ONLY for a two-term polynomial times another two-term polynomial. The method is called "FOIL". The letters F-O-I-L come from the words "first", "outer", "inner", "last", and are a memory device for helping you remember how to multiply horizontally, without having to write out the distribution and without dropping any terms. Here is what FOIL stands for:

• 0

Tales of Ostlea :
Dragon Cave :
Magistream :

Jessica
Board Owner
Topic Author

Sapphire

Posts: 3,470
Topics: 1,244
Articles: 30
Joined: December 22nd, 2010, 8:04 pm