Classifying polynomials by degree and number of terms calculator

About "Classify polynomials by number of terms"

Classify polynomials by number of terms :

Here we are going to see how to classify polynomials by degree.

Monomial

Polynomials which have only one term are known as monomials.

Binomial

Polynomials which have only two terms are called as  binomials.

Quadratic Polynomial

Polynomials which have only three terms are named as trinomials.

Let us look into some example problems based on the concept.

Example 1 :

Classify the following polynomial based on the number of terms

x3 - x2

Solution :

The given polynomial is having only two terms.

Hence it is known as binomial.

Example 2 :

Classify the following polynomial based on the number of terms

5x

Solution :

The given polynomial is having only one term.

Hence it is known as monomial.

Example 3 :

Classify the following polynomial based on the number of terms

4x4 + 2x3 + 1

Solution :

The given polynomial is having three term.

Hence it is known as trinomial.

Example 4 :

Classify the following polynomial based on the number of terms

4x3

Solution :

The given polynomial is having only one term.

Hence it is known as monomial.

Example 5 :

Classify the following polynomial based on the number of terms

x + 2

Solution :

The given polynomial is having only two terms.

Hence it is known as binomial.

Example 6 :

Classify the following polynomial based on the number of terms

y20 + y18 + y2

Solution :

The given polynomial is having  three terms.

Hence it is known as trinomial.

Example 7 :

Classify the following polynomial based on the number of terms

u23 - u4

Solution :

The given polynomial is having  two terms.

Hence it is known as binomial.

Example 8 :

Classify the following polynomial based on the number of terms

u3 - 2u2

Solution :

The given polynomial is having  two terms.

Hence it is known as binomial.

Example 9 :

Classify the following polynomial based on the number of terms

3x2

Solution :

The given polynomial is having  only one term.

Hence it is known as monomial.

Example 10 :

Classify the following polynomial based on the number of terms

-7

Solution :

The given polynomial is having  only one term.

Hence it is known as monomial.

Example 11 :

Classify the following polynomial based on the number of terms

4x

Solution :

The given polynomial is having  only one term.

Hence it is known as monomial.

Classifying polynomials by degree and number of terms calculator

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Polynomial Calculator is a free online tool that displays the addition, subtraction, multiplication, and division of two polynomials. BYJU’S online polynomial calculator tool makes the calculation faster, and it displays the resultant polynomial in a fraction of seconds for various operations such as addition, subtraction, multiplication, division, derivative and integration.

How to Use the Polynomial Calculator?

The procedure to use the polynomial calculator is as follows:
Step 1: Enter the polynomials in the respective input field and select required operator
Step 2: Now click the button “Calculate ” or “Multiply” or “Divide” to get the polynomial
Step 3: Finally, the resultant polynomial will be displayed in the new window

What is Meant by Polynomial?

In Mathematics, a polynomial is defined as an algebraic expression that consists of different terms, variables, coefficients, constants and non-negative integer exponents. Also, different arithmetic operations can be performed on polynomials such as addition, subtraction, multiplication and division. A polynomial can be of different types, namely

  • Monomial – An expression with a single term. Example: 6x
  • Binomial – An expression with two terms separated by mathematical operations. Example: 3x+4y
  • Trinomial – An expression with three terms. Example: 2x + 3y – 6z

We can also derive the derivative and antiderivative of the polynomial functions.

How do you determine the degree of each term of a polynomial?

Correct answer: To find the degree of the polynomial, add up the exponents of each term and select the highest sum.

What are the classification of polynomials according to the number of terms?

Based on the number of terms in a polynomial, there are 3 types of polynomials. They are monomial, binomial and trinomial. Based on the degree of a polynomial, they can be categorized as zero polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.

What is classification and degree of polynomial?

Table 10.2 Classifying a Polynomial Based on Its Degree.