How different a polynomial to non polynomial in terms of? - Answers

Polynomials are algebraic expressions that consist of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication, such as ( ax^n + bx^{n-1} + \ldots + c ). In contrast, non-polynomial expressions can include variables raised to negative or fractional powers, exponential functions, logarithms, or trigonometric functions, such as ( e^x ) or ( \frac{1}{x} ). The defining characteristic of polynomials is their continuity and differentiability over the entire real line, while non-polynomials may have discontinuities or undefined points. This fundamental difference affects their behavior, solutions, and the types of equations they can represent.