# Factoring Perfect Square

## Presentation on theme: "Factoring Perfect Square"— Presentation transcript:

Factoring Perfect Square
Goal Recognize perfect square Goal Factor perfect square using patterns.

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.

Factor the perfect square trinomial:
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

a b Does the middle term fit the pattern, 2ab? Yes, the factors are (a + b)2 :

a b Does the middle term fit the pattern, 2ab? Yes, the factors are (a - b)2 :

Example 2 Factor the following trinomials: x2 + 5x + 12 x2 + 6x + 9

Example 3 Factor the following trinomials: x2 + 8x + 16 4x2 + 12x + 9

Example 4 Factor the trinomial:

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