What is the degree of (x^0+9x^2-4)?
Answer and explanation
Correct answer: 2
Here, \(x^0=1\), so the polynomial becomes \(1+9x^2-4=9x^2-3\). The highest exponent of \(x\) with a non-zero coefficient is \(2\), so its degree is \(2\). Note that \(9\) is a coefficient, not an exponent. Exam tip: simplify constant terms first, then identify the highest power of \(x\).
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Here, \(x^0=1\), so the polynomial becomes \(1+9x^2-4=9x^2-3\). The highest exponent of \(x\) with a non-zero coefficient is \(2\), so its degree is \(2\). Note that \(9\) is a coefficient, not an exponent. Exam tip: simplify constant terms first, then identify the highest power of \(x\).
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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