2. 6.3 Trinomial Squares Goals: To recognize a trinomial square and be able to factor it Remember to always factor out a common factor before you see if it is a trinomial square or not!!

3. Multiply: (x + 3) 2 x2x2 + 9+ 6x Multiply: (2x - 5) 2 4x 2 +25- 20x Trinomial Squares

4. Trinomial Squares x 2 + 6x +9 4x 2 – 20x + 25 a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative)

5. Is 4x 2 – 20x + 25 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) Yes!!

6. Is x 2 + 8x + 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) Yes!!

7. Is x 2 - 12x + 4 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

8. Is 9x 2 - 12x + 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

9. Is 9x 2 + 24x - 16 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) no

10. Is 16x 2 + 40xy + 25y 2 a Trinomial Square? a.Two of the terms must be squares (A 2 and B 2 ) b.No minus sign before A 2 and B 2 c.If we multiply “A” and “B”, then double the result, we get the middle term, “2AB” (or its negative) yes

11. To Factor Trinomial Squares: A 2 + 2AB + B 2  (A + B) 2 A 2 - 2AB + B 2  (A - B) 2 Factor: x 2 + 10x + 25 (x + 5) 2

12. To Factor Trinomial Squares: A 2 + 2AB + B 2  (A + B) 2 A 2 - 2AB + B 2  (A - B) 2 Factor: x 2 - 8x + 16 (x - 4) 2

13. To Factor Trinomial Squares: A 2 + 2AB + B 2  (A + B) 2 A 2 - 2AB + B 2  (A - B) 2 Factor: 4 x 2 + 12x + 9 (2x + 3) 2

14. To Factor Trinomial Squares: A 2 + 2AB + B 2  (A + B) 2 A 2 - 2AB + B 2  (A - B) 2 Factor: 2x 2 + 12x + 18 2(x + 3) 2 2(x 2 + 6x + 9)

15. Factor: x 2 - 8x + 16 ( - ) 2 x 4 Check your answer using FOIL (x – 4)(x – 4)

16. Factor: 4 x 2 + 12x + 9 (2x + 3) 2

17. Factor: 9x 2 + 30xy + 25y 2 (3x + 5y) 2

18. Factor: 2x 2 + 12x + 18 2(x + 3) 2 2(x 2 + 6x + 9)

19. Assignment: Page 271 4-42 even