2Recall what happens when you multiply the following: (x + 4)(x + 4)(x – 3)2The results are called ____________________________.
3Factoring a Perfect Square Trinomial OR It has to be exactly in this form to use this rule. When you have a base being squared plus or minus twice the product of the two bases plus another base squared, it factors as the sum (or difference) of the bases being squared.
4Factor the perfect square trinomial: Example 1Factor the perfect square trinomial:If you can recognize that it fits the form of a perfect square trinomial, you can save yourself some time.*Fits the form of a perfect square trinomial *Factor as the sum of bases squared
5abDoes the middle term fit the pattern, 2ab?Yes, the factors are (a + b)2 :
6abDoes the middle term fit the pattern, 2ab?Yes, the factors are (a - b)2 :
7Example 2Factor the following trinomials:x2 + 5x + 12x2 + 6x + 9
8Example 3Factor the following trinomials:x2 + 8x + 164x2 + 12x + 9