What is the degree of (x^0+4x^5-9x)?
Answer and explanation
Correct answer: 5
Since \(x^0=1\), the polynomial becomes \(1+4x^5-9x\). The highest exponent of \(x\) with a non-zero coefficient is 5, so its degree is 5. Option 9 is a distractor based on the coefficient; degree depends on the exponent, not on the coefficient. Exam tip: simplify the polynomial first, then identify the greatest exponent among terms with non-zero coefficients.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Since \(x^0=1\), the polynomial becomes \(1+4x^5-9x\). The highest exponent of \(x\) with a non-zero coefficient is 5, so its degree is 5. Option 9 is a distractor based on the coefficient; degree depends on the exponent, not on the coefficient. Exam tip: simplify the polynomial first, then identify the greatest exponent among terms with non-zero coefficients.
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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