Question

Identify which are polynomials and write their degree 2× +3/×-11 3a b + 2 abc-5c​

Answer 1

Answer:

Before we move to the terms of an algebraic expression, you need to recall the definition of an algebraic expression. As discussed in the previous topic, an algebraic expression is an amalgam of variables and constants of 1 or more terms. The expressions are separated by symbols or operations like (+, –, × and ÷). These expressions are categorized as a monomial, binomial, trinomial and polynomial. Let us know more!

Related Question –

A ball is drawn at random from box I and transferred to box II. If the probability of drawing a red ball from box I, after this transfer, is 31 , then the correct option(s) with the possible values of n

1

and n

2

is (are). Check the answer here.

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 five types of algebraic expressions. These include:

Monomial

Binomial

Trinomial

Polynomial

Multinomial

However, here in this topic, we’ll study about the first 4 categories of an algebraic expression.

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 var

Step-by-step explanation:

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