In mathematics, a constant term (sometimes referred to as a free term) is a term in an algebraic expression that does not contain any variables and therefore is constant. For example, in the quadratic polynomial, the number 3 is a constant term.

After like terms. If the constant term is 0, then it will conventionally be omitted when the quadratic is written out.

Any polynomial written in standard form has a unique constant term, which can be considered a coefficient. In particular, the constant term will always be the lowest degree has a constant term of , where the variables are eliminated by being exponentiated to 0 (since any non-zero number exponentiated to 0 becomes 1). For any polynomial, the constant term can be obtained by substituting in 0 instead of each variable; thus, eliminating each variable. The concept of exponentiation to 0 can be applied to power series is the constant term.

Constant of integration

The derivative of a constant term is 0, so when a term containing a constant term is differentiated, the constant term vanishes, regardless of its value. Therefore the antiderivative).

based on the properties of trigonometric derivatives.

However, the integral (the antiderivative), plus an arbitrary constant:

, the derivative of the right-hand side of the equation is equal to the left-hand side of the equation.

See also

• Constant (mathematics)

References