Synthetic Division Learning

Introduction:

Synthetic division learning is a shortcut method to divide polynomials, it is more easy than long division of polynomials.

This method is mainly used in solving polynomial equations in the algebra activities. Synthetic divisions is also used to find the zeros of a polynomial .Then the equation is reduced to binomial or polynomial equation. If it was a binomial equation we can directly solve any one of the above methods. If it was again a polynomial equation we want to repeat the process till the equation is reduced to binomial equation. The process of the synthetic equation method is follows as:

AX³ + BX² + CX + D = 0

A, B, C, D are the coefficents of x.

The formula for the above equation is follows as:

Y | A B C D

|

| 0 AY Y(B+AY) Y(C+Y(B+AY))

|__________________________________________________

|

A B+AY C+Y(B+AY) | 0

|__________________

A, B, C, D are the coefficents of x.

From this we want to solve and reduce the equation to binomial equation. And repeat the process till the equation is factored by the algebra activities.