Key Terms

A binomial is a polynomial with exactly two terms.

conjugate pair
A conjugate pair is two binomials of the form (a−b),(a+b); the pair of binomials each have the same first term and the same last term, but one binomial is a sum and the other is a difference.

degree of a constant
The degree of any constant is 0.

degree of a polynomial
The degree of a polynomial is the highest degree of all its terms.

degree of a term
The degree of a term is the exponent of its variable.

A monomial is a term of the form axm, where a is a constant and m is a whole number; a monomial has exactly one term.

negative exponent
If n is a positive integer and a≠0, then a−n=1/an.

A polynomial is a monomial, or two or more monomials combined by addition or subtraction.

scientific notation
A number is expressed in scientific notation when it is of the form a×10n where a≥1anda<10 and n is an integer.

standard form
A polynomial is in standard form when the terms of a polynomial are written in descending order of degrees.

A trinomial is a polynomial with exactly three terms.