APPLICATION OF SPECIAL PRODUCTS AND FACTORING

Connect .. 

  * A number of problem situations can be translated to polynomial equations, which can in turn be solved by special products and factoring . 

..Explore ..  

  - In a basketball league of x teams in which every team plays every other team twice, the total number of games played is x - x

FACTORING GENERAL TRINOMIALS

You will find that factoring general trinomials requires skill, experience, and often, trial and error.

In this lesson , we will use capital letters A,B, and C to stand for the coefficients of the troinomial instead of the usual a,b, and c.




* FACTORING TRINOMIAL'S  OF THE FORM x + Bx + C


   - Let us begin by verifying the concept of factoring trinomials geometrically using algebra tiles. Recall that the dimension of a rectangle represent the factors and the area of the rectangle represents the product .

*FACTORING TRINOMIALS OF THE FORM Ax + Bx + C


 - When the coefficient of the x term is not 1 , there are no possibilities to consider.  We will consider three methods of factoring this trinomial.