What is the degree of (-9x^7+4x^4-x^2+1)?
Answer and explanation
Correct answer: 7
The degree of a polynomial is the greatest exponent of the variable among terms with non-zero coefficients. Here, the exponents are 7, 4, 2, and 0. Since the coefficient of -9x^7 is -9, which is non-zero, the highest exponent is 7. Therefore, the degree is 7. Option 4 is only the exponent of another term, and 9 is not an exponent in the polynomial. Exam tip: A non-zero constant term such as 1 has degree 0.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable among terms with non-zero coefficients. Here, the exponents are 7, 4, 2, and 0. Since the coefficient of -9x^7 is -9, which is non-zero, the highest exponent is 7. Therefore, the degree is 7. Option 4 is only the exponent of another term, and 9 is not an exponent in the polynomial. Exam tip: A non-zero constant term such as 1 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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