Polynomial Function
What is Polynomial Function?
The polynomial function is the function consisting of various terms including constants, and variables with different positive exponents and coefficients. It is represented as P(x).
What is the Degree of Polynomial Function?
The degree of a polynomial function is the highest power of the variable.
State various types of Polynomial Functions based on the Degree of Polynomial Function.
Various types of polynomial functions based on the degree of polynomial function are:
- Zero Polynomial Function
- Constant Polynomial Function
- Linear Polynomial Function
- Quadratic Polynomial Function
- Cubic Polynomial Function
- Quartic Polynomial Function
Which Curve Does the Graph of Quadratic Polynomial Function Represent?
The graph of quadratic functions represents the curve parabola.
Write the generalized or standard form of the polynomial function.
The generalized form of the polynomial function is:
P(x) = anxn + an-1xn-1 + …… + a2x2 + a1x + a0
Where,
- an, an-1, . . . a2, a1, a0 are coefficients,
- x is variable, and
- P(x) is the polynomial function in variable x.
What is Cubic Polynomial Function?
The polynomial function with degree 3 is called cubic polynomial function.
Polynomial Functions
Polynomial Functions are functions consisting of many algebraic terms including constants, variables of different degrees, coefficients, and positive exponents. The degree of the polynomial function is the highest exponent of the variable.
In this article, we will learn about Polynomial Functions, their examples, the degree of polynomial functions, etc. We will also learn about the types of polynomial functions, their graphs, the roots of polynomial functions, and how to identify whether the function is a polynomial function or not.
Table of Content
- What is a Polynomial Function?
- Examples of Polynomial Function
- Types of Polynomial Functions
- Polynomial Functions Graphs
- Zeros of Polynomial Function
- How to Identify a Polynomial Function?
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