Which of the following expressions is a polynomial in x of degree 5?
Answer and explanation
Correct answer: \(\sqrt{2}x^5-3x^2+1\)
In a polynomial, every exponent of x must be a non-negative integer. In option A, the highest exponent is 5, while \(\sqrt{2}\) is a valid real coefficient. Option B contains \(1/x=x^{-1}\), so it is not a polynomial. Exam tip: check exponents before checking coefficients.
Frequently asked questions
What is the correct answer to this question?
\(\sqrt{2}x^5-3x^2+1\)
Why is this the correct answer?
In a polynomial, every exponent of x must be a non-negative integer. In option A, the highest exponent is 5, while \(\sqrt{2}\) is a valid real coefficient. Option B contains \(1/x=x^{-1}\), so it is not a polynomial. Exam tip: check exponents before checking coefficients.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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