volume_mute
Definition of a Polynomial
publish date: 2026/05/23 05:12:46.735711 UTC
volume_mute
Which of the following expressions qualifies as a polynomial in \(x\)?
Correct Answer
\(2x^3 - x + 7\)
Explanation
A polynomial in \(x\) requires that the power of \(x\) in every term is a non-negative integer. \(2x^3 - x + 7\) satisfies this. Expressions with negative exponents, fractional exponents, or \(\sqrt{x}\) in the denominator do not qualify as polynomials.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012