What is the degree of (x^0+5x^2-8)?
Answer and explanation
Correct answer: 2
Here, \(x^0=1\), so the polynomial becomes \(1+5x^2-8=5x^2-7\). The highest exponent with a non-zero coefficient is \(2\); therefore, its degree is \(2\). The exponent \(0\) may occur in a constant term, but it is not the degree here. Exam tip: simplify like terms first, then identify the greatest exponent with a non-zero coefficient.
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 \(1+5x^2-8=5x^2-7\). The highest exponent with a non-zero coefficient is \(2\); therefore, its degree is \(2\). The exponent \(0\) may occur in a constant term, but it is not the degree here. Exam tip: simplify like terms first, then identify the greatest exponent with a non-zero coefficient.
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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