Wednesday, 20 June 2012

Polynomial Long Division

In the previous post we have discussed about Degree of Polynomial and In today's session we are going to discuss about Polynomial Long Division. In this blog we are going to discuss the Polynomial Long Division. An operation that is used to dividing a polynomial value with the polynomial value is called as polynomial long division. The process in which a value is dividing by the same value or lower degree is also known as polynomial Long Division. Polynomial long division is denoted the term that is added, subtract and multiplied. This equation 7xy2 + 3x – 11 is the representation of the polynomial long division. The polynomial word came from the two words the first one is ‘poly’ and second one is ‘nomial’. Poly means 'many' and nomial means 'term'. By combining both the meaning we get the word I. e. many terms. Polynomial may be denotes constant, variables, and exponent values and we can combine them with addition, subtraction and multiplication operation. (know more about Polynomial long division, here)
Lets consider a polynomial p (n), D (n) where degree (D) < degree (p), then the quotient polynomial Q(n) and remainder polynomial R(n) with degree(R) < degree(D),
P(n) = Q(n) + R(n) ⇒ P(n) = D(n) Q(n) + R(n),
D(n) D(n)

By following some steps we can easily find the polynomial long division.
Step1: Firstly we need to focus on the higher coefficient term which is present in the equation.
Step2: We need to multiply the divisor with the leading term by doing that we can get coefficient term that will be exact.
Step3: After getting the coefficient term we only have to change the sign of the variable. If negative sign is present, then we change it into positive sign and vice-versa.
Step4 : At last cancel the term of same coefficient or variable.

In differential equation solver we use some methods and somewhere it is related to the concept of how compound interest works. Indian Certificate of Secondary Education is a type of exam that is comes under the Council for the Indian School Certificate Examinations.

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