What is the degree of (0x^{14}+6x^6-2x+3)?
Answer and explanation
Correct answer: 6
The term \(0x^{14}\) has coefficient 0, so it is a zero term and is not considered while finding the degree. The remaining polynomial is \(6x^6-2x+3\), whose highest power of \(x\) is 6. Hence, its degree is 6. Option 14 is a close distractor, but that term does not contribute because its coefficient is 0. Exam tip: Remove terms with zero coefficients before identifying the highest exponent.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The term \(0x^{14}\) has coefficient 0, so it is a zero term and is not considered while finding the degree. The remaining polynomial is \(6x^6-2x+3\), whose highest power of \(x\) is 6. Hence, its degree is 6. Option 14 is a close distractor, but that term does not contribute because its coefficient is 0. Exam tip: Remove terms with zero coefficients before identifying the highest exponent.
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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