What is the degree of (x^0+11x^3-6)?
Answer and explanation
Correct answer: 3
Here, \(x^0=1\), so the polynomial becomes \(1+11x^3-6=11x^3-5\). Its term with the highest exponent is \(11x^3\), so the degree of the polynomial is \(3\). The number \(11\) is a coefficient, not an exponent. Exam tip: Simplify terms such as \(x^0\) first, then identify the greatest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Here, \(x^0=1\), so the polynomial becomes \(1+11x^3-6=11x^3-5\). Its term with the highest exponent is \(11x^3\), so the degree of the polynomial is \(3\). The number \(11\) is a coefficient, not an exponent. Exam tip: Simplify terms such as \(x^0\) first, then identify the greatest 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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