What is the degree of (-4x^8+3x^5-x^2+6)?
Answer and explanation
Correct answer: 8
The degree of a polynomial is the greatest exponent of the variable whose coefficient is non-zero. Here, the exponents of the terms are 8, 5, 2, and 0. The greatest exponent is 8, and the coefficient of x^8 is -4, which is non-zero. Therefore, the degree of the polynomial is 8. The constant term 6 has exponent 0, so it does not determine the degree. Exam tip: identify the highest non-zero power of the variable.
Frequently asked questions
What is the correct answer to this question?
8
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 exponents of the terms are 8, 5, 2, and 0. The greatest exponent is 8, and the coefficient of x^8 is -4, which is non-zero. Therefore, the degree of the polynomial is 8. The constant term 6 has exponent 0, so it does not determine the degree. Exam tip: identify the highest non-zero power of the variable.
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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