What is the degree of (4x^2+9x^{10}-5x^3+1)?
Answer and explanation
Correct answer: 10
The degree of a polynomial is the greatest exponent of the variable having a non-zero coefficient. Here, the exponents of the terms are 2, 10, 3, and 0. The greatest exponent is 10, so the degree of the polynomial is 10. Note that 9 is the coefficient of x^{10}, not the degree. Exam tip: To find degree, look for the highest power of the variable, not the largest coefficient.
Frequently asked questions
What is the correct answer to this question?
10
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable having a non-zero coefficient. Here, the exponents of the terms are 2, 10, 3, and 0. The greatest exponent is 10, so the degree of the polynomial is 10. Note that 9 is the coefficient of x^{10}, not the degree. Exam tip: To find degree, look for the highest power of the variable, not the largest coefficient.
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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