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How do you identify terms, like terms, coefficients, and constants in expressions?

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1 Answer

According to Wikipedia,"A term is a mathematical expression that may form a separable part of an equation, a series, or another expression."

In this case, the terms are -5x, 4, -x and -1. These can also be referred to as monomials. 

Like terms are the parts of the polynomial that are similar in degree. For example, -5x and -x are like terms, because they both have x in the term. 4 and -1 are also like terms because they are both constants. 

Constants are terms where the value never changes. 4 is always equal to 4, and -1 is always equal to -1, so their values are constant. 

Coefficients are the factors in the terms (or monomials) that are constant, that is, are not the variable. For example, -5 is the coefficient of -5x, and -1 is the coefficient of -x