What is the degree of (5+3x^6-x^2)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the highest exponent of the variable with a non-zero coefficient. The exponents of the terms in the given polynomial are 0, 6, and 2. Since 6 is the greatest exponent, its degree is 6. The number 2 is only the exponent in the term \(-x^2\), not the degree of the whole polynomial. Exam tip: Look for the highest power of the variable, regardless of the order of terms.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the highest exponent of the variable with a non-zero coefficient. The exponents of the terms in the given polynomial are 0, 6, and 2. Since 6 is the greatest exponent, its degree is 6. The number 2 is only the exponent in the term \(-x^2\), not the degree of the whole polynomial. Exam tip: Look for the highest power of the variable, regardless of the order of terms.
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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