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 polynomials in the following:$ h(x)=x^{4}-x^{\frac{3}{2}}+x-1 $
Given:
\( h(x)=x^{4}-x^{\frac{3}{2}}+x-1 \)
To do:
We have to check whether \( h(x)=x^{4}-x^{\frac{3}{2}}+x-1 \) is a polynomial.
Solution:
Polynomials:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
To identify whether the given expression is polynomial, check if all the powers of the variables are whole numbers after simplification. If any of the powers is a fraction or negative integer then it is not a polynomial.
\( h(x)=x^{4}-x^{\frac{3}{2}}+x-1 \) is not a polynom[Math Processing Error]ial because in the term $-x^{\frac{3}{2}}$ the variable $x$ is raised to the power $\frac{3}{2}$ which is not a whole number.
Therefore, \( h(x)=x^{4}-x^{\frac{3}{2}}+x-1 \) is not a polynomial.
24 Views
