What is the degree of (0x^{15}+2x^8-6x^4+9)?
Answer and explanation
Correct answer: 8
The coefficient of \(0x^{15}\) is 0, so it is a zero term and is not considered while finding the degree. Among the remaining non-zero terms, \(2x^8\), \(-6x^4\), and \(9\), the highest exponent is 8. Therefore, the degree of the polynomial is 8. Option 15 is incorrect because the coefficient of \(x^{15}\) is zero. Exam tip: Remove terms with zero coefficients before identifying the highest power.
Frequently asked questions
What is the correct answer to this question?
8
Why is this the correct answer?
The coefficient of \(0x^{15}\) is 0, so it is a zero term and is not considered while finding the degree. Among the remaining non-zero terms, \(2x^8\), \(-6x^4\), and \(9\), the highest exponent is 8. Therefore, the degree of the polynomial is 8. Option 15 is incorrect because the coefficient of \(x^{15}\) is zero. Exam tip: Remove terms with zero coefficients before identifying the highest power.
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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