What is the degree of (x^{12}+4x^5-2x)?
Answer and explanation
Correct answer: 12
The degree of a polynomial in one variable is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of x are 12, 5, and 1, and the greatest is 12. Therefore, the degree of the polynomial is 12. The number 5 is only the exponent in the term 4x^5, not the degree of the whole polynomial. Exam tip: Compare the exponents of all terms and select the greatest one.
Frequently asked questions
What is the correct answer to this question?
12
Why is this the correct answer?
The degree of a polynomial in one variable is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of x are 12, 5, and 1, and the greatest is 12. Therefore, the degree of the polynomial is 12. The number 5 is only the exponent in the term 4x^5, not the degree of the whole polynomial. Exam tip: Compare the exponents of all terms and select the greatest one.
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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