What will be the degree of (6x^5-3x^2+x+8)?
Answer and explanation
Correct answer: 5
The degree of a polynomial is the greatest exponent of the variable whose coefficient is non-zero. Here the terms are 6x^5, -3x^2, x, and 8, and the greatest exponent of x is 5. Therefore, the degree of the polynomial is 5. The constant term 8 has degree 0; it does not make the degree 8. Exam tip: To find the degree, look for the highest power of the variable, not the numerical coefficient.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable whose coefficient is non-zero. Here the terms are 6x^5, -3x^2, x, and 8, and the greatest exponent of x is 5. Therefore, the degree of the polynomial is 5. The constant term 8 has degree 0; it does not make the degree 8. Exam tip: To find the degree, look for the highest power of the variable, not the numerical 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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