Examples on Graph of Polynomial
Example 1. Find the value of a, if x – a is a factor of x3 – ax2 + 5x + a – 3.
Solution:
Let p(x) = x3 – ax2 + 5x + a – 3
Given that x – a is a factor of p(x).
⇒ p(a) = 0
a3 – a(a)2 + 5a + a – 3 = 0
a3 – a3 + 5a + a – 3= 0
( a3 – a3 = 0)
6a – 3 = 0
6a = 3, a = 2
Therefore, a = 2.
Example 2. Graph the polynomial function.
f(x) = 5x4 – x² + 3
Graph of Polynomial Functions
Graphs of polynomials provide a visual representation of polynomial functions. The graphs of polynomials play a vital role in some applications like science, finance engineering, etc.
In this article, we will cover what a polynomial is, what is a graph of a polynomial, what are the types of polynomial functions, how to make a graph of different types of polynomials, what are real-life uses of the graph of a polynomial function and conclusion of the polynomial.
Table of Content
- What is a Polynomial?
- Graph of a Polynomial
- Types of Polynomial Functions
- How to Draw a Graph of a Polynomial?
- How to Find Roots using Graph of Polynomial Function
- Real-Life Uses of Graph of the Polynomial
Contact Us