1. Warmups – factor. 1) 2xy 3 – 6x 2 y 2) x 2 – 12x + 36 3) 4y 2 + 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 4x 2 + 36xy + 81y 2 1 st term is a perfect square 3 rd term is a perfect square (and positive) 2 nd = 2√1 st √3 rd, can be positive or negative Then… Example x 2 – 12x + 36 (x – 6) 2

5. TOO: IS IT A PERFECT SQUARE TRINOMIAL? 1) x 2 + 8x + 16 2) x 2 + 6x – 9 3) x 2 + 5x + 25 4) x 2 + 10x + 25 5) 4x 2 – 20x + 25 6) x 2 + 8x + 12 7) 49 – 14y + y 2 8) 2x 2 + 8x + 16 9) x 2 – 2x – 3 10) x 2 – 2x + 1 1) YES 2) NO-9 3) NOx25 ≠ 5x 4) YES 5) YES 6) NO √12 7) YES 8) NO2(x 2 + 4x + 8) 9) NO √-3 10) YES

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 1) x 2 – 18x + 81 2) 9x 2 + 24xy + 16y 2 3) 100 + 20x + x 2 4) 4x 2 + 4x + 1 5) x 2 – 14x + 49

9. Homework Perfect Square Trinomials Worksheet