What is the degree of the polynomial (x^4+x^9+3x^2)?
Answer and explanation
Correct answer: 9
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. Here, the exponents of the terms are 4, 9, and 2. The greatest exponent is 9, so the degree of the polynomial is 9. Option 4 is only the exponent of the first term, \(x^4\), not the degree of the whole polynomial. Exam tip: Ignore the order of terms and identify the highest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable in any term with a non-zero coefficient. Here, the exponents of the terms are 4, 9, and 2. The greatest exponent is 9, so the degree of the polynomial is 9. Option 4 is only the exponent of the first term, \(x^4\), not the degree of the whole polynomial. Exam tip: Ignore the order of terms and identify the highest exponent of the variable.
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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