What is the degree of the constant polynomial \(p(x)=9\)?
Answer and explanation
Correct answer: 0
\(p(x)=9\) is a non-zero constant polynomial. It can be written as \(9x^0\), so the highest power of \(x\) is \(0\), making its degree \(0\). Remember that it is the zero polynomial, not a non-zero constant polynomial, whose degree is undefined.
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What is the correct answer to this question?
0
Why is this the correct answer?
\(p(x)=9\) is a non-zero constant polynomial. It can be written as \(9x^0\), so the highest power of \(x\) is \(0\), making its degree \(0\). Remember that it is the zero polynomial, not a non-zero constant polynomial, whose degree is undefined.
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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