What is the total degree of the polynomial (6x^3y^2+5xy-4)?
Answer and explanation
Correct answer: 5
The total degree of a polynomial is the greatest sum of the exponents of its variables in any term. For 6x^3y^2, the total degree is 3+2=5; for 5xy, it is 1+1=2; and the constant term -4 has degree 0. Hence, the greatest total degree is 5. Option 6 is incorrect because no term has exponents whose sum is 6. Exam tip: Find the total degree of each term separately, then choose the greatest value.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The total degree of a polynomial is the greatest sum of the exponents of its variables in any term. For 6x^3y^2, the total degree is 3+2=5; for 5xy, it is 1+1=2; and the constant term -4 has degree 0. Hence, the greatest total degree is 5. Option 6 is incorrect because no term has exponents whose sum is 6. Exam tip: Find the total degree of each term separately, then choose the greatest value.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
