What is the degree of (0x^6+7x^3-4)?
Answer and explanation
Correct answer: 3
The coefficient of \(0x^6\) is zero, so it does not count as a term of the polynomial. The remaining polynomial is \(7x^3-4\), whose highest power of \(x\) is \(3\). Hence, its degree is \(3\). Option \(6\) is a close distractor, but the power of a zero-coefficient term cannot 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 coefficient of \(0x^6\) is zero, so it does not count as a term of the polynomial. The remaining polynomial is \(7x^3-4\), whose highest power of \(x\) is \(3\). Hence, its degree is \(3\). Option \(6\) is a close distractor, but the power of a zero-coefficient term cannot 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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