1. Warmups – factor. 1) 2xy3 – 6x2y 2) x2 – 12x + 36 3) 4y2 + 36y + 81
4) 4ax – 6bx + 6ay – 9by

2. 10-5 Perfect Square Trinomials
Objective: To identify and factor perfect square trinomials.
Standard 11.0

3. Remember…
So….

4. Recognizing a Perfect Square Trinomial
4x2 + 36xy + 81y2
1st term is a perfect square
3rd term is a perfect square (and positive)
2nd = 2•√1st •√3rd , can be positive or negative
Then…
Example
x2 – 12x + 36
(x – 6)2

5. TOO: IS IT A PERFECT SQUARE TRINOMIAL?
x2 + 8x + 16
x2 + 6x – 9
x2 + 5x + 25
x2 + 10x + 25
4x2 – 20x + 25
x2 + 8x + 12
49 – 14y + y2
2x2 + 8x + 16
x2 – 2x – 3
x2 – 2x + 1

6. FACTOR practice time.

7. Completing the Square
Take half of the middle term and square it to get the third term!
TOO:

8. TOO FOR HOMEWORK factor the perfect square trinomials
x2 – 18x + 81
9x2 + 24xy + 16y2
x + x2
4x2 + 4x + 1
x2 – 14x + 49