What is the degree of the non-zero constant polynomial (12)?
Answer and explanation
Correct answer: 0
The non-zero constant polynomial 12 has no variable term. It can be written as \(12x^0\), so the highest power of the variable is 0. Therefore, its degree is 0. The number 12 is its constant value, not its degree. Exam tip: Every non-zero constant has degree 0; only the zero polynomial is generally treated as having an undefined degree.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The non-zero constant polynomial 12 has no variable term. It can be written as \(12x^0\), so the highest power of the variable is 0. Therefore, its degree is 0. The number 12 is its constant value, not its degree. Exam tip: Every non-zero constant has degree 0; only the zero polynomial is generally treated as having an undefined degree.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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