What is the degree of the non-zero constant polynomial (-18)?
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Answer and explanation
Correct answer: \(0\)
A non-zero constant polynomial has degree \(0\). We can write \(-18=-18x^0\), so the highest exponent of \(x\) is \(0\). A polynomial of degree \(1\) must contain a variable with exponent \(1\), such as \(3x-18\). Exam tip: Only the zero polynomial has an undefined degree; a non-zero constant does not.
Frequently asked questions
What is the correct answer to this question?
\(0\)
Why is this the correct answer?
A non-zero constant polynomial has degree \(0\). We can write \(-18=-18x^0\), so the highest exponent of \(x\) is \(0\). A polynomial of degree \(1\) must contain a variable with exponent \(1\), such as \(3x-18\). Exam tip: Only the zero polynomial has an undefined degree; a non-zero constant does not.
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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