Recall what happens when you multiply the following: (x + 4)(x + 4) (x – 3) 2 The results are called ____________________________.
Factoring 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.
Example 1 Factor 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
Does the middle term fit the pattern, 2ab? Yes, the factors are (a + b) 2 : b a
Does the middle term fit the pattern, 2ab? Yes, the factors are (a - b) 2 : b a
Example 2 Factor the following trinomials: x 2 + 5x + 12x 2 + 6x + 9
Example 3 Factor the following trinomials: x 2 + 8x + 164x x + 9