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A number is a specific value or quantity, while a variable represents an unknown or changing quantity, often denoted by letters like x or y. A product of numbers and variables raised to natural number powers is referred to as a polynomial. Polynomials consist of terms that can include constants (numbers), variables, and exponents that are whole numbers (non-negative integers). For example, (3x^2 + 2x + 1) is a polynomial where (3), (2), and (1) are coefficients, and (x) is the variable raised to the powers of 2 and 1.

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