Question

classify the following expression as a monomial , binomial or trinomial of a)5x+2xsquare+x​

Answer 1

Answer:

Here is the answer...

Step-by-step explanation:

Introduction

Before we move any further, let us take help of an example for better understanding. Here are some examples of algebraic expressions.

7b + 5m,

5x + 3y + 10,

5x/y + 3,

x + y + z,

Terms of An Algebraic Expression

Every part of an algebraic expression that is separated by a minus or plus sign is known as the term of the algebraic expression. Please note that multiplication and division sign does not separate the terms of an algebraic expression.

Types of Algebraic Expressions

Broadly, there are four types of algebraic expressions. These include:

Monomial

Binomial

Trinomial

Polynomial

Let us see about each in detail.

Monomial

A monomial is an algebraic expression that has only one non zero term. Examples of a monomial expression:

a is a monomial in one variable a

10ab2 is a monomial in two variables a and b.

5m2n is a monomial in two variables m and n.

-7pq is a monomial in two variables p and q.

5b3c is a monomial in two variables b and c.

2b is a monomial in one variable b.

2ax/3y is a monomial in three variables a, x and y.

k2 is a monomial in one variable k.

Binomial

A binomial is an algebraic expression that has two non-zero terms. Examples of a binomial expression:

a2 + 2b is a binomial in two variables a and b.

5x3 – 9y2 is a binomial in two variables x and y.

-11p – q2 is a binomial in two variables p and q.

m + n is a binomial in two variables m and n.

b3/2 + c/3 is a binomial in two variables b and c.

5m2n2 + 1/7 is a binomial in two variables m and n.

Trinomial

A trinomial is an algebraic expression that has three non-zero terms. Examples of a trinomial expression:

x + y + z is a trinomial in three variables x, y and z.

2a2 + 5a + 7 is a trinomial in one variables a.

xy + x + 2y2 is a trinomial in two variables x and y.

-7m5 + n3 – 3m2n2 is a trinomial in two variables m and n.

5abc – 7ab + 9ac is a trinomial in three variables a, b and c.

x2/3 + ay – 6bz is a trinomial in five variables a, b, x, y and z.

Polynomial

A polynomial is an algebraic expression that has one, two or more terms. Examples of polynomials:

2a + 5b is a polynomial of two terms in two variables a and b.

3xy + 5x + 1 is a polynomial of three terms in two variables x and y.

3y4 + 2y3 + 7y2 – 9y + 3/5 is a polynomial of five terms in two variables x and y.

m + 5mn – 7m2n + nm2 + 9 is a polynomial of four terms in two variables m and n.

3 + 7x5 + 4x2 is a polynomial of three terms in one variable x.

3 + 5x2 – 4x2y + 5xy2 is a polynomial of three terms in two variables x and y.

x + 5yz – 7z + 11 is a polynomial of four terms in three variables x, y and z.

1 + 2p + 3p2 + 4p3 + 5p4 + 6p5 + 7p6 is a polynomial of seven terms in one variable p.

So ,

the answer is trinomial for this question as there are three terms.