+

# Multiplication of Polynomials: Special Cases

##### Rating:
(8)
• (1)
• (3)
• (3)
• (0)
• (1)
Author: Seth Marx
##### Description:

The explanation of some special cases when multiplying polynomials and very helpful shortcuts that go with them.

(more)

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

No credit card required

37 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 32 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

## New Terms

Square of a binomial: the result of a binomial function multiplied by itself: (a + b)2 = (a + b)(a + b) = a2 + 2ab + b2

Binomial: a function with two terms in it

Polynomial: a function with two or more terms in it

FOIL: the acronym used for multiplying binomials... First Outside Inside Last, which means you multiply the FIRST two together, then the OUTSIDE, next the INSIDE, and lastly, the LAST (see the examples below if you need help)

## Summary

square of a binomial: (a + b)2 = a2 + 2ab + b2

square of a binomial: (a - b)2 = a2 - 2ab + b2

difference of 2 squares: (x + a)(x - a) = x2 - a2

Rating