Adding of Polynomials
Introduction:
Today I will explain the topic Adding of Polynomials which is a very important topic of mathematics for school going children.
except coefficients all variables present in a term are called literal factors. e.g; 3xyz ,this is a monomial and literal factors if this term is xyz. The terms which have same literal factors may have different coefficients are known as like terms. e.g; 5xy²z , -7xy²z are like terms. The terms which have different literal factors are known as unlike terms. e.g; 6pqr, 6qrp² are unlike terms.
Find coefficients, literal factors, like terms and unlike terms.
Answer:- From the picture,
Coefficients :- 3,-2,5,1 Literal factors:-xyz,xyp,mnl Like terms:- 3xyz,-2xyz Unlike terms:- xyp,mnl
Add the following polynomials.
Question(1)
3xyz , - xyz Answer:- 3xyz - xyz —-------------- 2xyz
Rule(1):-
(i) Polynomials are written vertically one after another. (ii) Both like polynomials and coefficients of upper and lower are 3 and -1 respectively. So simply subtracting 3 - 1 = 2 [ ∵ Here grater number is + 3, so after subtraction the results sign will be +, here it is +2]
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