What is the degree of (18x^7+0x^{11}-2)?
Answer and explanation
Correct answer: 7
The term \(0x^{11}\) has zero coefficient, so it is not an actual term of the polynomial. Among the remaining non-zero terms, \(18x^7\) and \(-2\), the greatest power of \(x\) is \(7\). Therefore, the degree of the polynomial is \(7\). Option 11 is tempting, but a term with coefficient zero does not affect the degree. Exam tip: Remove all zero-coefficient terms before finding the degree.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The term \(0x^{11}\) has zero coefficient, so it is not an actual term of the polynomial. Among the remaining non-zero terms, \(18x^7\) and \(-2\), the greatest power of \(x\) is \(7\). Therefore, the degree of the polynomial is \(7\). Option 11 is tempting, but a term with coefficient zero does not affect the degree. Exam tip: Remove all zero-coefficient terms before finding the 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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