What is the total degree of (3x^4y+5xy^6+2)?
Answer and explanation
Correct answer: 7
The total degree of a polynomial is the greatest total degree among its terms. For 3x^4y, the total degree is 4+1=5; for 5xy^6, it is 1+6=7; and the constant term 2 has degree 0. Hence, the greatest total degree is 7. Option 5 is only the degree of the first term, not of the whole polynomial. Exam tip: Add the exponents of all variables in each term and select the largest sum.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
The total degree of a polynomial is the greatest total degree among its terms. For 3x^4y, the total degree is 4+1=5; for 5xy^6, it is 1+6=7; and the constant term 2 has degree 0. Hence, the greatest total degree is 7. Option 5 is only the degree of the first term, not of the whole polynomial. Exam tip: Add the exponents of all variables in each term and select the largest sum.
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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