Q. 3

# Classify the following polynomials as monomials, binomials and trinomials:

3x^{2}, 3x + 2, x^{2} – 4x + 2, x^{5} – 7, x^{2} + 3xy + y^{2},

s^{2} + 3st – 2t^{2}, xy + yz + zx, a^{2}b + b^{2}c, 2l + 2m

Answer :

3x^{2}

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.**

x^{2} – 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.**

x^{5} – 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.**

x^{2} + 3xy + y^{2}

Expression that contains three terms is called a trinomial.

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

s^{2} + 3st – 2t^{2}

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.**

a^{2}b + b^{2}c

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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