Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Identify constant, linear, quadratic and cubic polynomials from the following polynomials:$ g(x)=2 x^{3}-7 x+4 $
Given:
\( g(x)=2 x^{3}-7 x+4 \)
To do:
We have to classify the given polynomial as constant, linear, quadratic and cubic polynomial.
Solution:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
A constant polynomial is a polynomial of degree 0.
A linear polynomial is a polynomial of degree 1.
A quadratic polynomial is a polynomial of degree 2.
A cubic polynomial is a polynomial of degree 3.
A biquadratic polynomial is a polynomial of degree 4.
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
To find the degree, identify the exponents on the variables in each term, and add them together to find the degree of each term.
In \( g(x)=2 x^{3}-7 x+4 \), the term $2x^3$ has a variable of power $3$.
This implies the degree of \( g(x)=2 x^{3}-7 x+4 \) is $3$.
Therefore, the given polynomial is a cubic polynomial.
26 Views
