Notes 8.7 – FACTORING SPECIAL CASES

I. Perfect Square Trinomials Recall: The Square of a Binomial The of a binomial is the SQUARE of the FIRST term plus the PRODUCT of the terms plus the SQUARE of the LAST term.   Therefore something like , can be factored to be SQUARE TWICE

FIRST LAST SECOND SQUARE How to recognize perfect square trinomials: 1.) The and terms are perfect squares! SECOND SQUARE 2.) The term is twice the product of their roots. Example: What is the factored form of

Example: What is the factored form of Since b is negative, we need to use the negative square root of c.

Example: What is the factored form of Since b is negative, we need to use the negative square root of c.

II. The Difference of Two Squares Recall: Product of a Sum and Difference The of a pair of binomials that is a SUM and a DIFFERENCE of the same two terms is the of their .  Therefore something like , can be factored to be PRODUCT DIFFERENCE SQUARES

Example: What is the factored form of THERE IS NO SUM OF SQUARES!!!!

Homework : Tonight: Section 8.7 pages 549-550 #’s 14-36 even