Difference between revisions of "Terms of Polynomial"
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In Mathematics, a [[Polynomials|polynomial]] is defined as an algebraic expression which consists of variables, coefficients, and mathematical operations such as addition, subtraction, multiplication or division. | In Mathematics, a [[Polynomials|polynomial]] is defined as an algebraic expression which consists of variables, coefficients, and mathematical operations such as addition, subtraction, multiplication or division. | ||
== Terms of Polynomial == | == Terms of Polynomial == | ||
[[File:Terms Of Polynomial.jpg|alt=Terms of Polynomial|thumb|Terms of Polynomial]] | |||
A polynomial is an algebraic expression which has two or more algebraic terms. It has variables, constants, coefficients, exponents and operators. | A polynomial is an algebraic expression which has two or more algebraic terms. It has variables, constants, coefficients, exponents and operators. | ||
For example <math> | For example <math>5x^2+3y-8</math> | ||
'''Variable:''' An alphabet which is used to represent the unknown value. Here <math>x</math> is a variable. | '''Variable:''' An alphabet which is used to represent the unknown value. Here <math>x</math> is a variable. | ||
'''Coefficient:''' A number which is multiplied with the variable. Here <math> | '''Coefficient:''' A number which is multiplied with the variable. Here <math>5 ,3 </math> are coefficients | ||
'''Operator:''' Operator may be either addition (+), subtraction (-), multiplication (*), etc.. Here <math>+</math> | '''Operator:''' Operator may be either addition (+), subtraction (-), multiplication (*), etc.. Here <math>+ , -</math> are operators | ||
'''Constant''': Term which does not change. Here <math> | '''Constant''': Term which does not change. Here <math>8</math> is a constant. | ||
'''Exponent (degree)''' : An exponent refers to the number of times a number is multiplied by itself. Here <math>2</math> is | '''Exponent (degree)''': An exponent refers to the number of times a number is multiplied by itself. Here <math>2</math> is an exponent. | ||
Example: <math>4x^2+3x+5=0</math> | Example: <math>4x^2+3x+5=0</math> | ||
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!Operator | !Operator | ||
!Constant | !Constant | ||
!Exponent | !Exponent | ||
|- | |- | ||
|<math>x</math> | |<math>x</math> | ||
Revision as of 15:42, 14 May 2024
In Mathematics, a polynomial is defined as an algebraic expression which consists of variables, coefficients, and mathematical operations such as addition, subtraction, multiplication or division.
Terms of Polynomial
A polynomial is an algebraic expression which has two or more algebraic terms. It has variables, constants, coefficients, exponents and operators.
For example
Variable: An alphabet which is used to represent the unknown value. Here is a variable.
Coefficient: A number which is multiplied with the variable. Here are coefficients
Operator: Operator may be either addition (+), subtraction (-), multiplication (*), etc.. Here are operators
Constant: Term which does not change. Here is a constant.
Exponent (degree): An exponent refers to the number of times a number is multiplied by itself. Here is an exponent.
Example:
| Variable | Coefficient | Operator | Constant | Exponent |
|---|---|---|---|---|
| 5 |