Which of the following statements about the zero polynomial is correct?
Answer and explanation
Correct answer: Its degree is not defined
The zero polynomial has no non-zero term, so there is no highest exponent to determine its degree; hence, its degree is not defined. In contrast, a non-zero constant polynomial has degree 0, so option A is incorrect. Exam tip: distinguish the zero polynomial from a non-zero constant polynomial.
Frequently asked questions
What is the correct answer to this question?
Its degree is not defined
Why is this the correct answer?
The zero polynomial has no non-zero term, so there is no highest exponent to determine its degree; hence, its degree is not defined. In contrast, a non-zero constant polynomial has degree 0, so option A is incorrect. Exam tip: distinguish the zero polynomial from a non-zero constant polynomial.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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