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Concept

Factored Form

The result of factoring – writing a numeric or algebraic expression as the product of its factors – is called the factored form.
Example Factored Form
Natural Number
Fraction
Polynomial
The factored form has many uses, such as reducing fractions and finding the roots of a polynomial function, among others. Take care, however, of cases such as this:
Although the original expression has been rewritten as a product of two factors, it has not been fully factored; therefore, it is a factored form of the expression, but the factored form of the expression would be written as