{"id":8478,"date":"2020-12-22T03:43:30","date_gmt":"2020-12-21T22:13:30","guid":{"rendered":"https:\/\/cbselibrary.com\/?p=8478"},"modified":"2020-12-22T14:28:48","modified_gmt":"2020-12-22T08:58:48","slug":"review-factoring-polynomials","status":"publish","type":"post","link":"https:\/\/cbselibrary.com\/review-factoring-polynomials\/","title":{"rendered":"Review Factoring Polynomials"},"content":{"rendered":"

Review Factoring Polynomials<\/strong><\/span><\/h2>\n

This lesson will review the process of factoring, which is used when solving \u00a0equations and simplifying rational expressions.<\/p>\n

To factor polynomial expressions, there are several approaches that can be used to simplify the process. While all of these approaches are not used for each problem, it is best to examine your expression for the possible existence of these situations. Ask yourself the following questions:<\/p>\n

Are there Common Factors?<\/strong><\/h3>\n

Factor out the Greatest Common Factor (GCF) of the expression, if one exists. This will make it simpler to factor the remaining expression.<\/p>\n

Take care NOT to drop this GCF, as it is still part of the expression’s answer.<\/p>\n

\"Review<\/p>\n

Does the expression have only 2 terms?<\/strong><\/h3>\n

If it does, is the expression a DIFFERENCE of PERFECT SQUARES?
\nIf so, you should be able to write the expression as a product of the sum and difference of the square roots of the terms.<\/p>\n

Sometimes, as in Example 2 below, it is best to write the terms in square notation so
\nyou can see what the terms will be in factored form. Be sure to use parentheses!<\/p>\n

This process is also called Factoring with DOTS (Difference of Two Squares).
\n\"Review<\/p>\n

Does the expression have exactly 3 terms?<\/strong><\/h3>\n

If yes, then the expression may factor into the product of two binomials. One way to solve this type of problem is to use trial and error, keeping certain “hints” in mind.<\/p>\n

Hints:
\nWith the trinomial arranged in proper order (highest to lowest powers):<\/p>\n