Dictionary for Basic and Intermediate Algebra
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Any integer or polynomial that exactly divides a given integer or polynomial. Factor a polynomial means decompose it in simple (prime) factors. Thus 2, 3, 4, 6, 12 are factors of 12, but the prime decomposition of 12 is . For example factoring the polynomial:
See more on Factoring Polynomial


Any arrangement of points, lines, curves or surfaces, constituting a geometrical shape.

Formation Rules

In logic, the rules of a formal language constructing well formed formulas (WFF) from symbols. For example, are WFF, but are not.


A formal expression of some rule .


Any ratio of one quantity to another non-zero quantity.


A function is a rule that assigns to every element x of a set X, a unique element y of a set Y, written as y = f(x). X is called the domain and Y the codomain and the set of all elements f(x) is called the range or image of  f. The range is a subset of  the codomain, but in all basic level of mathematics are seen as equals.
To help understand this definition, we look at the function as an input-out machine where the set of all allowed inputs is the domain and the set of all outputs obtained is the range. 


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