What is the degree of (0x^8+9x^4-5)?
Answer and explanation
Correct answer: 4
The coefficient of \(0x^8\) is zero, so it does not contribute to the polynomial. In the remaining polynomial \(9x^4-5\), the highest power of \(x\) is \(4\); therefore, its degree is \(4\). Option 8 is incorrect because the coefficient of \(x^8\) is zero. Exam tip: Remove terms with zero coefficients before finding the degree.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The coefficient of \(0x^8\) is zero, so it does not contribute to the polynomial. In the remaining polynomial \(9x^4-5\), the highest power of \(x\) is \(4\); therefore, its degree is \(4\). Option 8 is incorrect because the coefficient of \(x^8\) is zero. Exam tip: Remove terms with zero coefficients 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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