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Mathematics LibreTexts

Key Terms Chapter 06: Polynomials

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Binomial
A binomial is a polynomial with exactly two terms.
Conjugate Pair
A conjugate pair is two binomials of the form (ab),(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.
Monomial
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 a0, then an=1an.
Polynomial
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 a1 and a<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.
Trinomial
A trinomial is a polynomial with exactly three terms.

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