What is the degree of (-2x^6+9x^4-x+3)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of the variable in a term with a non-zero coefficient. Here, the exponents of the terms are 6, 4, 1, and 0. In \(-2x^6\), the exponent of \(x\) is 6 and its coefficient, -2, is non-zero; therefore, the degree is 6. Although \(9x^4\) has degree 4, it is not the highest exponent. Exam tip: a non-zero constant term has degree 0.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable in a term with a non-zero coefficient. Here, the exponents of the terms are 6, 4, 1, and 0. In \(-2x^6\), the exponent of \(x\) is 6 and its coefficient, -2, is non-zero; therefore, the degree is 6. Although \(9x^4\) has degree 4, it is not the highest exponent. Exam tip: a non-zero constant term has degree 0.
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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