What is the degree of (0x^7+6x^3-2x+5)?
Answer and explanation
Correct answer: 3
The term \(0x^7\) has coefficient zero, so it is not considered an actual term of the polynomial. In the remaining polynomial \(6x^3-2x+5\), the highest power of \(x\) is \(3\). Therefore, its degree is \(3\). Choosing \(7\) would be incorrect because a term with zero coefficient does not determine the degree. Exam tip: Remove all zero-coefficient terms before finding the degree.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The term \(0x^7\) has coefficient zero, so it is not considered an actual term of the polynomial. In the remaining polynomial \(6x^3-2x+5\), the highest power of \(x\) is \(3\). Therefore, its degree is \(3\). Choosing \(7\) would be incorrect because a term with zero coefficient does not determine 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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