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# 20 Algebra 1 Vocab

### Mnemonic

TermDefinition
polynomial a monomial or sum of monomials
binomial the sum of two monomials
trinomial the sum of three monomials
degree of a monomial the sum of the exponents of all its variables
degree of a polynomial the greatest degree of any term in the polynomial
standard form of a polynomial a polynomial that is written with the terms in order from greatest degree to least degree
leading coefficient the coefficient of the term with the highest degree in a polynomial
FOIL Method to multiply two binomials, find the sum of the products of the First terms, Outer terms, Inner terms, and Last terms, and Last terms
quadratic expression an expression in one variable with a degree of 2 written in the form a times x squared + b times x + c
factoring to express a polynomial as the product of monomials and polynomials
factoring by grouping the use of the Distributive Property to factor some polynomials having four or more terms
Zero Product Property If the product of two factors is 0, then at least one of the factors must be 0.
quadratic equation an equation of the form a times x squared + b times x + c = 0, where a is not equal to 0
prime polynomial a polynomial that cannot be written as a product of two polynomials with integral coefficients
difference of two squares two perfect squares separated by a subtraction sign
perfect square trinomials a trinomial that is the square of a binomial
exponential function a function that can be described by an equation of the form y=a to the x power, where a>0 and a is not equal to 1
exponential growth when an initial amount increases by the same percent over a given period of time
exponential decay when an initial amount decreases by the same percent over a given period of time
compound interest a special application of exponential growth
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