What is the total degree of (2x^4y-7xy^3+9)?
Answer and explanation
Correct answer: 5
Find the total degree of each term. For 2x^4y, it is 4+1=5; for -7xy^3, it is 1+3=4; and the constant term 9 has degree 0. The greatest of these is 5, so the total degree of the polynomial is 5. Option 4 is only the total degree of the second term. Exam tip: for a term with more than one variable, add the exponents of all its variables to get its total degree.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Find the total degree of each term. For 2x^4y, it is 4+1=5; for -7xy^3, it is 1+3=4; and the constant term 9 has degree 0. The greatest of these is 5, so the total degree of the polynomial is 5. Option 4 is only the total degree of the second term. Exam tip: for a term with more than one variable, add the exponents of all its variables to get its total degree.
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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