body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Recommended

Tests

An error ocurred, try again later!

Chapter {{ article.chapter.number }}

{{ article.number }}.

Show less Show more

Lesson Settings & Tools

	{{ 'ml-lesson-number-slides' \| message : article.intro.bblockCount }}
	{{ 'ml-lesson-number-exercises' \| message : article.intro.exerciseCount }}
	{{ 'ml-lesson-time-estimation' \| message }}

Image Credits

{{ item.file.title }}
{{ presentation }}

No file copyrights entries found

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	$6$	$2 \cdot 3$
Fraction	$\frac{4}{6}$	$\frac{2 \cdot 2}{2 \cdot 3}$
Polynomial	$x^{2} + 3 x + 2$	$(x + 2) (x + 1)$

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} - 4 x \Leftrightarrow 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) .

Loading content

{{ article.displayTitle }}