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L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9 Video Lecture

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FAQs on L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9 Video Lecture

1. What is the degree of a zero polynomial?

Ans. The degree of a zero polynomial is undefined. This is because a zero polynomial has no non-zero terms and hence no term with a non-zero coefficient. As the degree of a polynomial is determined by the highest power of the variable in any of its terms, a zero polynomial does not have a degree.

2. Is the degree of a zero polynomial always zero?

Ans. No, the degree of a zero polynomial is not always zero. In fact, a zero polynomial does not have a degree. The degree of a polynomial is determined by the highest power of the variable in any of its terms. Since a zero polynomial has no non-zero terms, it does not have a degree.

3. Can a non-zero constant polynomial be considered as a zero polynomial?

Ans. No, a non-zero constant polynomial cannot be considered as a zero polynomial. A zero polynomial is a polynomial in which all the coefficients of the terms are zero. On the other hand, a non-zero constant polynomial has a non-zero coefficient for its constant term. Therefore, it cannot be considered as a zero polynomial.

4. Can a polynomial of degree zero be a zero polynomial?

Ans. No, a polynomial of degree zero cannot be a zero polynomial. A polynomial of degree zero is a constant polynomial in which all the terms have a degree of zero. However, a zero polynomial is a polynomial in which all the coefficients of the terms are zero. Therefore, a polynomial of degree zero cannot be a zero polynomial.

5. Is the zero polynomial unique?

Ans. Yes, the zero polynomial is unique. It is the only polynomial in which all the coefficients of the terms are zero. Any other polynomial, regardless of its degree or number of terms, cannot be the zero polynomial unless all its coefficients are zero.

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L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9 for Class 92024 is part of Class 9 preparation. The notes and questions for L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9 have been prepared according to the Class 9 exam syllabus. Information about L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9 covers all important topics for Class 92024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for L6 : Degree of Zero polynomial - Polynomials, Maths, Class 9.

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