Monomial

This article deals with the monomial in algebra. For its meaning in logic, see conjunction term.

In algebra, a monomial is a polynomial consisting of only one member. A monomial is therefore a product consisting of a coefficient and powers of one, rarely also several variables.

Examples of monomials of variable a:

a,\ a^{2},\ 7b\cdot a,\ -5b^{4}a^{2}

Each polynomial is a sum of monomials of the same variable, for example, is

\ 5x^{3}+7x^{2}-2x-10

is made up of the following monomials:

5x^{3},\ 7x^{2},\ -2x^{1},\ -10x^{0}

Polynomial functions whose function term is a monomial are power functions.

Generalization

If one allows several variables and arbitrary real powers, one obtains the monomial functions.


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