Which polynomial does not have degree (5)?
Answer and explanation
Correct answer: \(7x^4+5\)
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In \(7x^4+5\), the highest power of \(x\) is \(4\), so its degree is \(4\), not \(5\). Each of the other three polynomials contains an \(x^5\) term and therefore has degree \(5\). Exam tip: To find the degree, look for the highest power of the variable; a constant term does not affect it.
Frequently asked questions
What is the correct answer to this question?
\(7x^4+5\)
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. In \(7x^4+5\), the highest power of \(x\) is \(4\), so its degree is \(4\), not \(5\). Each of the other three polynomials contains an \(x^5\) term and therefore has degree \(5\). Exam tip: To find the degree, look for the highest power of the variable; a constant term does not affect it.
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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