Which option has a polynomial of degree (8)?
Answer and explanation
Correct answer: \(2x^8-6x^3+5\)
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(2x^8-6x^3+5\), the highest power of \(x\) is \(8\), so its degree is \(8\). Option A has degree \(7\), while options B and D have degrees \(4\) and \(1\), respectively. Exam tip: To find the degree, look for the highest power of the variable, not the constant term.
Frequently asked questions
What is the correct answer to this question?
\(2x^8-6x^3+5\)
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(2x^8-6x^3+5\), the highest power of \(x\) is \(8\), so its degree is \(8\). Option A has degree \(7\), while options B and D have degrees \(4\) and \(1\), respectively. Exam tip: To find the degree, look for the highest power of the variable, not the constant term.
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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