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An algebraic expression is a valid combination of numbers, variables, and mathematical operations. For example, in the expression $2x+3,$ the variable $x$ is being multiplied by its coefficient $2;$ then, this product is added to the constant $3.$
Algebraic expressions come in many forms; they can be monomials, like the $2x$ in the binomial expression above. In a polynomial, each monomial separated by a $+$ or $-$ sign is called a term. $\begin{gathered} \text{-}3x^2+2x-1 \end{gathered}$ An entire polynomial, like the trinomial above, is also called an algebraic expression. However, an expression that only contains constants is called a numerical or numeric expression.