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?

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

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…

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)

FACTOR COMPLETELY2. 4X2 -16X + 16

GCF: 4

4(x2 -4x + 4)

Trinomial or Dots? Trinomial!

FACTOR COMPLETELY2. 4X2 -16X + 16

4(x2 - 4x + 4)

Big X

X-4

-2

4

-2

FACTOR COMPLETELY2. 4X2 -16X + 16

4(x2 - 4x + 4)

Double bubble!

(x – 2)(x – 2)

Don’t forget to bring down the GCF! 4

3. 100X2 – 4

• GCF?

• GCF: 4

• Pull out GCF!

• 4(25x2 – 1)

• DOTS or Trinomial?

• DOTS!

3. 100X2 – 4

4(25x2 – 1)

Double Bubble!

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

4. 2X2 – 16X + 32

• GCF?

• GCF: 2

• Pull out GCF!

• 2(x2 – 8x + 16)

• DOTS or Trinomial?

• Trinomial!

FACTOR COMPLETELY2(X2 – 8 + 16)

• 2(x2 – 8 + 16)

Big X

X-8

-4

16

-4

2X2 – 16X + 32

2(x2 – 8x + 16)

Double Bubble!

2(x – 4)(x – 4)

5. 5X2 + 10X + 5

• GCF?

• GCF: 5

• Pull out GCF!

• 5(x2 + 2x + 1)

• DOTS or Trinomial?

• Trinomial!

FACTOR COMPLETELY5. 5X2 + 10X + 5

• 5(x2 + 2x + 1)

Big X

X2

1

1

1

5. 5X2 + 10X + 5

5(x2 + 2x + 1)

Double Bubble!

5(x + 1)(x + 1)

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

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

a2 - b2

What is this?

DOTS!

What do we get when we factor this?

(a – b) (a + b)

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?

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