Class 9 Practice Set 3.1 Lecture 1 Polynomials Chapter 3| 9th Maths 1 |Std 9 Maths 1 3.1 | Algebra
Yogesh Sir's Backbenchers・10 minutes read
The video discusses Polynomials, highlighting the conditions required to classify an expression as a polynomial and the importance of the power in determining its degree. Understanding the degree of polynomials, especially how to calculate it based on the highest power in the expression, is crucial.
Insights
- A polynomial must have a power that is a whole number from one to infinity to be classified as such, with constant polynomials having a power of zero.
- The degree of a polynomial is determined by the highest power in the expression, highlighting the significance of understanding and calculating polynomial degrees for accurate classification.
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Recent questions
What are the conditions for a polynomial?
The power must be a whole number from one to infinity.
How is the degree of a polynomial determined?
By the highest power present in the expression.
What is a constant polynomial?
A polynomial where the power is zero.
Why is the power of a polynomial important?
It determines if the expression qualifies as a polynomial.
How can one calculate the degree of a polynomial?
Based on the highest power present in the expression.
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Summary
00:00
Understanding Polynomials: Degree Calculation Explained
- The topic covered in the video is Polynomials, specifically focusing on standard nine, mostly number three.
- To be classified as a polynomial, specific conditions must be met, such as the power being a whole number ranging from one to infinity.
- The power of a polynomial is crucial, with the number being raised to a specific power to determine if it qualifies as a polynomial.
- The degree of a polynomial is determined by the highest power present in the expression.
- Constant polynomials, where the power is zero, are also considered polynomials.
- The degree of a constant polynomial is always zero.
- The video emphasizes the importance of understanding the degree of polynomials and how to calculate it.
- The explanation provided in the video aids in understanding how to determine the degree of polynomials based on the highest power present in the expression.
