Home | About Mathguru | Advertisements | Teacher Zone | FAQs | Contact Us | Login

 
If you like what you see in Mathguru
Subscribe Today
For 12 Months
US Dollars 12 / Indian Rupees 600
Available in 20 more currencies if you pay with PayPal.
Buy Now
No questions asked full moneyback guarantee within 7 days of purchase, in case of Visa and Mastercard payment
  

Example:Solve using Algebraic Identity

Post to:

Bookmark and Share



Explanation:

 

Polynomial

 

In mathematics, a polynomial (from Greek poly, "many" and medieval Latin binomium, "binomial" is an expression of finite length constructed from variables (also known as indeterminates) and constants, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. For example, x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x3/2 is not, because its second term involves division by the variable x (4/x) and because its third term contains an exponent that is not a whole number (3/2).

 

http://en.wikipedia.org/wiki/Polynomial

 

Sum/difference of two squares

 

A visual illustration of the identity (a + b) 2 = a2 + 2ab + b2 (Our solved example in mathguru.com uses this concept)

Another common type of algebraic factoring is called the difference of two squares. It is the application of the formula

to any two terms, whether or not they are perfect squares. If the two terms are subtracted, simply apply the formula. If they are added, the two binomials obtained from the factoring will each have an imaginary term. This formula can be represented as

For example, 4x2 + 49 can be factored into (2x + 7i) (2x − 7i).

 

Factoring other polynomials

Sum/difference of two cubes

Another formula for factoring is the sum or difference of two cubes. The sum can be represented by

and the difference by

For example, x3 − 103 (or x3 − 1000) can be factored into (x − 10) (x2 + 10x + 100). (Our solved example in mathguru.com uses this concept)

 

http://en.wikipedia.org/wiki/Factorization

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.