Coefficient

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In mathematics, a coefficient is a constant multiplicative factor of a specified object. The object can be a variable, a vector, a function, or anything else that might be subject to multiplication.

For example, the coefficient of $a$ in the expression $5a + b$ is 5. Note that it is important that we specify what we are looking at the coefficients of: 5 also has a coefficient in $5a + b$, namely $a$.

Coefficients come up most frequently in a discussion of polynomials.

Leading Coefficient

The leading coefficient is the coefficient of the highest degree in a polynomial. It is used to write the polynomial in standard form, and is especially used to factor quadratics.

See Also

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