Question

1)How to decide whether the given terms are like or unlike terms?
2) What are monomials,binomial,trinomial and polynomial?​

Answer 1

Answer:

1 ) Like terms : The terms having the same literal (variable) with same exponents are called Like terms. Unlike terms : The terms having the same variable with different exponents or different variable with same exponents are called Unlike terms .

2)

You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial

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Answer 2

$\sf\bold{1)}$- Following steps will help you to decide whether the given terms are Like or Unlike terms:

$\sf{i.}$ Ignore the numerical coefficients. Concentrate on the algebric part of the terms.

$\sf{ii.}$ Check the variables in the terms.They must be the same.

$\sf{iii.}$ Next,check the powers of each variable in the terms. They must be the same.

᯽NOTE : In deciding like terms,two things do not matter:

1) the numerical coefficients of the terms .

2) the order in which the variables are multiplied in the terms.

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$\sf\bold{2)}$Monomials:- An expression with only one term is called a monomial. Example; $(7xy)$

Binomials:- An expression which contains two unlike terms is called binomial. Example; $(x+y)$

Trinomial:- A expression which contains three terms us called a trinomial. Example;$(x+y+7)$

Polynomial:- In general,an expression with one or more terms is called a polynomial. Thus, a minomial,binomial and tinomial are all POLYNOMIALS.

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