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Definition of coefficient

What's before the variable?

picture of coefficients in math In layman's terms: A coefficient is simply the number before an algebraic variable or term. In technical 'math speak', the coefficient is a constant.

Examples of coefficients

Algebraic expression The expression's coefficient
3x 3
5 y 5
11x2 11
11xy 11 (remember the coefficient must be a number)
x 1
* Whenever the coefficient is '1', it is generally not written. (This is explained by the multiplicative identity)
4xyk 4
$$ \frac{3}{4} $$ xyk $$ \frac{3}{4} $$
xy 1
(Again when the coefficient is 1 people normally do not write the '1')
$$ \pi $$6 $$ \pi $$
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