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Algebra Ch. 7
| Term | Definition |
|---|---|
| Monomial | A number, a variable, or a product of a number and one or more variables with the whole number exponents |
| Degree of a monomial | The sum of the exponents of the variables in a monomial |
| Polynomial | A monomial or a sum of monomials |
| Binomial | A polynomial with two terms |
| Trinomial | A polynomial with three terms |
| Degree of a Polynomial | The greatest degree of the terms of a polynomial |
| FOIL Method | A shortcut for multiplying two binomials |
| Factored Form | A polynomial is in factored form when it is written as a product of factors |
| Zero-Product Property | If the product of two real numbers is 0, then at least one of the numbers is 0 |
| Root | The solutions of a polynomial equation |
| Factoring by Grouping | To factor polynomials with four terms, group the terms into pairs , factor the GCF out of each pair of terms, and look for common binomial factor |
| Prime Polynomial | A polynomial that cannot be factored as a product of polynomials with integer coefficients |
| Factored Completely | A factorable polynomial With integer coefficient is said to be factored completely when no more factors can be found and it is written as the product of prime factors. |