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Coefficient

A coefficient is the number multiplying a variable in a term — like 7 in 7x. Learn the definition, how to spot coefficients, and how to combine like terms.

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What a coefficient is

In a term, the coefficient is the numeric factor and the variable is the letter factor. The coefficient tells you how many of the variable you have and scales its effect.

Combining like terms

Terms with identical variable parts are called like terms. You combine them by adding their coefficients — the algebraic version of counting up matching objects.

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Frequently asked questions

1

What is a coefficient?

A coefficient is the number multiplying a variable in a term. In 7x, the coefficient is 7; in −3y², it is −3.

2

How do I combine like terms using coefficients?

Sort the terms by their variables and add the coefficients of like terms. For 2x + 3x, the coefficients 2 and 3 add to give 5x.

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