{{ item.displayTitle }}

No history yet!

Student

Teacher

{{ item.displayTitle }}

{{ item.subject.displayTitle }}

{{ searchError }}

{{ courseTrack.displayTitle }} {{ statistics.percent }}% Sign in to view progress

{{ printedBook.courseTrack.name }} {{ printedBook.name }} 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 | $6$ | $2⋅3$ |

Fraction | $64 $ | $2⋅32⋅2 $ |

Polynomial | $x_{2}+3x+2$ | $(x+2)(x+1)$ |

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:
$x_{3}−4x⇔x(x_{2}−4) $
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 $x(x+2)(x−2).$