There are many subjects in academics to learn but learning the mathematical concepts play a major role. Because it acts as basic knowledge in order to understand the concepts of other subjects like science, engineering, accounts, history, even arts and crafts needs knowledge of maths. There are many best math classes available on the internet. Which makes learning the subject easier and more interesting.
Online tutoring classes will conduct online sessions for all the grades of the students. There are many maths articles published on each of the topics on online websites. which can be understood by all the grades of the students. They can access these materials which are available on the internet based on their requirements.
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Introduction to Synthetic Division
In Algebra there are two different methods to divide the polynomials.
- long division method
- synthetic division method.
The synthetic division method is considered the shortcut method to divide the polynomials. This method is Used to divide the linear factor and to find the zeros of the polynomials.
Let us clearly explain the synthetic division if dividing the polynomial g(x) by a linear factor (x-a) where the degree of the polynomial is equal to 1 and q(x) is the quotient of the polynomial and the letter R denotes the remainder of the division. It can be represented as below.
G(x)/(x-a) = Q(x) +[R/(x-a)]
Steps to Perform Synthetic Division
- First we need to arrange the given polynomial in the decreasing order. The missing term should be replaced with zero and the denominator should be equated to zero.
- We have to place the polynomial G(x) in the rectangular box.
- We have to place the linear factor with which we are going to divide the polynomial should be placed on the left side of the G(x).
- We need to bring the first leading term downwards.
- We need to multiply the linear factor with the leading factor which was brought downwards in the previous step.
- The obtained value should be placed below the next coefficient of the polynomial and we need to perform the required operations.
- These steps should be repeated until we get the remainder zero.
Example 1: simply 2×3+3x-1/x+1
Solution:
-1|2 ,3 ,-1
| 2 -2
|1 1
0
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