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x 2 + 5x + 6 = 0

Solving Trinomial Equations

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Page 1: Solving Trinomial Equations

x2 + 5x + 6 = 0

Page 2: Solving Trinomial Equations

x2 + 5x + 6

x2

x

x x

x

x

1

1

1

1

1

1

= 0

= 0

Page 3: Solving Trinomial Equations

x2 + 5x + 6

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)

= 0

= 0

= 0

Page 4: Solving Trinomial Equations

x2 + 5x + 6

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)

= 0

= 0

= 0

Page 5: Solving Trinomial Equations

x2 + 5x + 6

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)

= 0

= 0

= 0

Page 6: Solving Trinomial Equations

ALLTHE

SAME

x2 + 5x + 6

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)

= 0

= 0

= 0

Page 7: Solving Trinomial Equations

(x + 2)(x + 3)= 0

Page 8: Solving Trinomial Equations

(x + 2)(x + 3)= 0

Page 9: Solving Trinomial Equations

(x + 2)(x + 3)= 0

= 0•What two numbers multiply to equal zero?

Page 10: Solving Trinomial Equations

(x + 2)(x + 3)= 0

= 0•What two numbers multiply to equal zero?

-------zero and any number-------

Page 11: Solving Trinomial Equations

(x + 2)(x + 3)= 0

= 0•What two numbers multiply to equal zero?

-------zero and any number-------

(x + 2)=0 or (x + 3)=0

Page 12: Solving Trinomial Equations

(x + 2)(x + 3)= 0

= 0•What two numbers multiply to equal zero?

-------zero and any number-------

(x + 2)=0 or (x + 3)=0x = -2 or -3

Page 13: Solving Trinomial Equations

1

2

3

4

x2 + 5x + 6 = 0

SUM

MA

RY

Page 14: Solving Trinomial Equations

1

2

3

4

x2 + 5x + 6 = 0

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)= 0 SUM

MA

RY

Page 15: Solving Trinomial Equations

1

2

3

4

x2 + 5x + 6 = 0

x2

x

x x

x

x

1

1

1

1

1

1

(x + 2)(x + 3)= 0x = -2 or -3

SUM

MA

RY

Page 16: Solving Trinomial Equations

You

Try

ON

E

0 = x2 + 7x + 6

1. Draw as Algebra Tiles2. Convert to Binomial Multiplication3. Find x

Page 17: Solving Trinomial Equations

0 = x2 + 7x + 6

x2

x

x

x

x

1

1

1

1

1

1

x

x

x

x +

6

x + 1(x + 1)(x + 6)=0

(x + 1)=0or

(x + 6)=0

x = -1 or -6

ANSWER

Page 18: Solving Trinomial Equations

Independent Questions

Page 19: Solving Trinomial Equations

Answer in the Google FormFind x

1. x - 4 = 0

Next Page

2. x + 9 = 0

3. x + 11 = 0

Page 20: Solving Trinomial Equations

Draw Algebra Tiles to Find x

4. (x + 4)(x - 5) = 0

Next Page

5. (x + 9)(x - 3) = 0

6. (x + 11)(x - 1) = 0

Page 21: Solving Trinomial Equations

7. What are the 4 steps for solving a trinomial

equation?

Page 22: Solving Trinomial Equations

Draw Algebra Tiles to Find x

8. x2 + 3x + 2 = 0

9. x2 + 4x + 4 = 0

Next Page

Page 23: Solving Trinomial Equations

Draw Algebra Tiles to Find x

10. x2 - 3x + 2 = 0

11. x2 - 4x - 12 = 0

Next Page