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Homework# 19 : On homework pack, do Second page: 24, 25 Third page: 7, 12, 17, 18, 19 Do Now : Factor completely. 24x 2 – 6 AIM: HOW CAN WE MAKE SURE WE HAVE FACTORED COMPLETELY?

Aim: How can we make sure we have factored completely?

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Aim: How can we make sure we have factored completely?. Homework# 19 : On homework pack, do Second page: 24, 25 Third page: 7, 12, 17, 18, 19 Do Now : Factor completely. 24x 2 – 6. 6. Factor completely. 24x 2 – 6 GCF? Pull out GCF! (4x 2 - 1) Trinomial or DOTS? DOTS - PowerPoint PPT Presentation

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Page 1: Aim: How can we make sure we have factored completely?

Homework# 19: On homework pack, do

Second page: 24, 25

Third page: 7, 12, 17, 18, 19

Do Now: Factor completely.

24x2 – 6

AIM: HOW CAN WE MAKE SURE WE HAVE FACTORED COMPLETELY?

Page 2: Aim: How can we make sure we have factored completely?

Factor completely.

24x2 – 6

GCF?

Pull out GCF!

(4x2- 1)

Trinomial or DOTS?

DOTS

6(2x – 1) (2x + 1)

Don’t forget to bring down the GCF!

6

6

Page 3: Aim: How can we make sure we have factored completely?

1. Describe and correct the error made in factoring.9x2 - 49=(9x + 7)(9x – 7)

PRACTICE! Factor completely

2. 4x2 -16x + 16

Factor completely

3. 100x2 – 4

4. 2x2 – 16x + 32

5. 5x2 + 10x + 5Challenge!

What is the area of the orange section, expressed in factored form?

When you are done…

Page 4: Aim: How can we make sure we have factored completely?

The square root of 9x2 is 3x.

The factorization of 9x2 – 49 = (3x -7)(3x + 7)

1. DESCRIBE AND CORRECT THE ERROR MADE IN FACTORING.9X2 – 49 = (9X + 7)(9X – 7)

Page 5: Aim: How can we make sure we have factored completely?

FACTOR COMPLETELY2. 4X2 -16X + 16

GCF: 4

4(x2 -4x + 4)

Trinomial or Dots? Trinomial!

Page 6: Aim: How can we make sure we have factored completely?

FACTOR COMPLETELY2. 4X2 -16X + 16

4(x2 - 4x + 4)

Big X

X-4

-2

4

-2

Page 7: Aim: How can we make sure we have factored completely?

FACTOR COMPLETELY2. 4X2 -16X + 16

4(x2 - 4x + 4)

Double bubble!

(x – 2)(x – 2)

Don’t forget to bring down the GCF! 4

Page 8: Aim: How can we make sure we have factored completely?

3. 100X2 – 4

• GCF?

• GCF: 4

• Pull out GCF!

• 4(25x2 – 1)

• DOTS or Trinomial?

• DOTS!

Page 9: Aim: How can we make sure we have factored completely?

3. 100X2 – 4

4(25x2 – 1)

Double Bubble!

4(5x -1)(5x + 1)

Page 10: Aim: How can we make sure we have factored completely?

4. 2X2 – 16X + 32

• GCF?

• GCF: 2

• Pull out GCF!

• 2(x2 – 8x + 16)

• DOTS or Trinomial?

• Trinomial!

Page 11: Aim: How can we make sure we have factored completely?

FACTOR COMPLETELY2(X2 – 8 + 16)

• 2(x2 – 8 + 16)

Big X

X-8

-4

16

-4

Page 12: Aim: How can we make sure we have factored completely?

2X2 – 16X + 32

2(x2 – 8x + 16)

Double Bubble!

2(x – 4)(x – 4)

Page 13: Aim: How can we make sure we have factored completely?

5. 5X2 + 10X + 5

• GCF?

• GCF: 5

• Pull out GCF!

• 5(x2 + 2x + 1)

• DOTS or Trinomial?

• Trinomial!

Page 14: Aim: How can we make sure we have factored completely?

FACTOR COMPLETELY5. 5X2 + 10X + 5

• 5(x2 + 2x + 1)

Big X

X2

1

1

1

Page 15: Aim: How can we make sure we have factored completely?

5. 5X2 + 10X + 5

5(x2 + 2x + 1)

Double Bubble!

5(x + 1)(x + 1)

Page 16: Aim: How can we make sure we have factored completely?

Challenge Question!What is the area of the orange section, expressed in factored form?What is the area of square?

Length x width OR (side)2

What is the area of the big square?

Area = a x a = a2

What is the area of the small square?

b x b = b2

Page 17: Aim: How can we make sure we have factored completely?

Challenge Question!What is the area of the orange section, expressed in factored form?What is the area of the orange section?

(Area of big square) – (area of small square)

a2 - b2

What is the area of the orange section, expressed in factored form?a2 - b2

Page 18: Aim: How can we make sure we have factored completely?

a2 - b2

What is this?

DOTS!

What do we get when we factor this?

(a – b) (a + b)

Page 19: Aim: How can we make sure we have factored completely?

You’re going to complete an exit slip. Please factor these problems completely on LOOSE-LEAF paper!!

a) 2x2 + 10x - 12 b) n2 + 3n - 54

c) 3x2 – 9x d) 16x2 - 25

HOW WELL DID WE LEARN THESE?

Page 20: Aim: How can we make sure we have factored completely?

PRACTICE, PRACTICE, PRACTICE!

1. x2 + 5x + 4

2. 2x2 – 8x – 90

3. x2 + 5x – 24

4. 3a3 – 9a2 – 54a

5. wz4 + 2wz3 – 80wz2

6. p2 – 24p + 63

7. 3x2 + 15x + 18