Q. 3

Classify the following polynomials as monomials, binomials and trinomials:

3x2, 3x + 2, x2 – 4x + 2, x5 – 7, x2 + 3xy + y2,

s2 + 3st – 2t2, xy + yz + zx, a2b + b2c, 2l + 2m

Answer :

3x2


Expression that contains only one term is called a monomial.


The above question has only one term i.e. 3, so it is monomial.


3x + 2


Expression that contains two terms is called a binomial.


The above question has two terms i.e. 3x and + 2 , so it is binomial.


x2 – 4x + 2


Expression that contains three terms is called a trinomial.


The above question has 3 terms i.e. , -4x and + 2, so it is trinomial.


x5 – 7


Expression that contains two terms is called a binomial.


The above question has two terms i.e. and -7, so it is a binomial.


x2 + 3xy + y2


Expression that contains three terms is called a trinomial.


The above question has 3 terms i.e., + 3xy and , so it is trinomial.


s2 + 3st – 2t2


Expression that contains three terms is called a trinomial.


The above question has 3 terms i.e., + 3st and -, so it is trinomial.


xy + yz + zx


Expression that contains three terms is called a trinomial.


The above question has 3 terms i.e. xy, + yz and + zx, so it is trinomial.


a2b + b2c


Expression that contains two terms is called a binomial.


The above question has 2 terms i.e. and + , so it is a binomial.


2l + 2m


Expression that contains two terms is called a binomial.


The above question has 2 terms i.e. 2l and + 2m, so it is a binomial.


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