Key Terms Chapter 06: Polynomials
- Page ID
- 101923
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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 \((a−b),(a+b)\); 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.
- Monomial
- A monomial is a term of the form \(ax^m\), 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 \(a^{−n}=\frac{1}{a^n}\).
- 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 \(a×10^n\) where \(a≥1\) 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.