With respect to (y), what is the degree of (5x^4y^3+2xy^6-8)?
Answer and explanation
Correct answer: 6
To find the degree with respect to y, consider only the powers of y. In the given expression, the powers of y are 3, 6, and 0; the greatest is 6, occurring in 2xy^6. Therefore, the correct answer is 6. The value 3 is the power of y only in 5x^4y^3, not the highest power. Exam tip: When degree is asked with respect to one variable, treat the other variables as coefficients.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
To find the degree with respect to y, consider only the powers of y. In the given expression, the powers of y are 3, 6, and 0; the greatest is 6, occurring in 2xy^6. Therefore, the correct answer is 6. The value 3 is the power of y only in 5x^4y^3, not the highest power. Exam tip: When degree is asked with respect to one variable, treat the other variables as coefficients.
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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