What is the degree of the non-zero constant polynomial \(p(x)=-18\)?
Answer and explanation
Correct answer: 0
The polynomial \(p(x)=-18\) can be written as \(-18x^0\). The degree of a polynomial is the highest power of the variable with a non-zero coefficient; here, that power is \(0\). Therefore, the correct answer is 0. Exam tip: every non-zero constant polynomial has degree 0, whereas the degree of the zero polynomial is not defined.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The polynomial \(p(x)=-18\) can be written as \(-18x^0\). The degree of a polynomial is the highest power of the variable with a non-zero coefficient; here, that power is \(0\). Therefore, the correct answer is 0. Exam tip: every non-zero constant polynomial has degree 0, whereas the degree of the zero polynomial is not defined.
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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