Difference between revisions of "Constant Polynomial"
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A constant polynomial in algebra is a polynomial whose degree is equal to zero. The standard form of denoting a constant polynomial is <math>f(x)=k</math> where <math>k</math> is a real number. Its graph is a horizontal straight line parallel to the x-axis as the value of the constant polynomial <math>f(x)=k</math> remains the same irrespective of the change in the variable <math>x</math>. | A constant polynomial in algebra is a polynomial whose degree is equal to zero. The standard form of denoting a constant polynomial is <math>f(x)=k</math> where <math>k</math> is a real number. Its graph is a horizontal straight line parallel to the <math>x-</math>axis as the value of the constant polynomial <math>f(x)=k</math> remains the same irrespective of the change in the variable <math>x</math>. | ||
== Definition == | == Definition == | ||
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* <math>f(x)=4</math> | * <math>f(x)=4</math> | ||
* <math>g(x)=\pi</math> | * <math>g(x)=\pi</math> | ||
== Constant Polynomial Graph == | == Constant Polynomial Graph == | ||
We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the x-axis. Given below is a graph of a constant polynomial f(x) = 3 | [[File:Constant polynomial.jpg|alt=Constant polynomial|thumb|Constant polynomial]] | ||
We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the <math>x-</math>axis. Given below is a graph of a constant polynomial <math>f(x)=3</math> Whatever may be the value of <math>x</math>, the corresponding output value remains the same which is equal to <math>3</math>. | |||
Latest revision as of 19:22, 13 May 2024
A constant polynomial in algebra is a polynomial whose degree is equal to zero. The standard form of denoting a constant polynomial is where is a real number. Its graph is a horizontal straight line parallel to the axis as the value of the constant polynomial remains the same irrespective of the change in the variable .
Definition
A polynomial in algebra with degree zero is called a constant polynomial.
In simple words, we can say that a constant polynomial is a polynomial in algebra whose output value remains the same irrespective of the change in the input values. Some of the examples of a constant polynomial are:
Constant Polynomial Graph
We know that constants output value does not change with the change in the input value. So, it has a straight line graph parallel to the axis. Given below is a graph of a constant polynomial Whatever may be the value of , the corresponding output value remains the same which is equal to .