With respect to (x), what is the degree of (5x^4y^3+2xy^6-8)?
Answer and explanation
Correct answer: 4
To find the degree with respect to \(x\), treat \(y\) as part of the coefficient. The powers of \(x\) in \(5x^4y^3\), \(2xy^6\), and \(-8\) are 4, 1, and 0 respectively. The greatest power is 4, so the correct answer is 4. Although \(y\) has power 6, 6 is not correct because the degree is asked only with respect to \(x\). Exam tip: compare powers only of the variable named in the question.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
To find the degree with respect to \(x\), treat \(y\) as part of the coefficient. The powers of \(x\) in \(5x^4y^3\), \(2xy^6\), and \(-8\) are 4, 1, and 0 respectively. The greatest power is 4, so the correct answer is 4. Although \(y\) has power 6, 6 is not correct because the degree is asked only with respect to \(x\). Exam tip: compare powers only of the variable named in the question.
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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