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 PresentationTRANSCRIPT
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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.
24x2 – 6
AIM: HOW CAN WE MAKE SURE WE HAVE FACTORED COMPLETELY?
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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
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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…
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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)
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FACTOR COMPLETELY2. 4X2 -16X + 16
GCF: 4
4(x2 -4x + 4)
Trinomial or Dots? Trinomial!
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FACTOR COMPLETELY2. 4X2 -16X + 16
4(x2 - 4x + 4)
Big X
X-4
-2
4
-2
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FACTOR COMPLETELY2. 4X2 -16X + 16
4(x2 - 4x + 4)
Double bubble!
(x – 2)(x – 2)
Don’t forget to bring down the GCF! 4
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3. 100X2 – 4
• GCF?
• GCF: 4
• Pull out GCF!
• 4(25x2 – 1)
• DOTS or Trinomial?
• DOTS!
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3. 100X2 – 4
4(25x2 – 1)
Double Bubble!
4(5x -1)(5x + 1)
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4. 2X2 – 16X + 32
• GCF?
• GCF: 2
• Pull out GCF!
• 2(x2 – 8x + 16)
• DOTS or Trinomial?
• Trinomial!
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FACTOR COMPLETELY2(X2 – 8 + 16)
• 2(x2 – 8 + 16)
Big X
X-8
-4
16
-4
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2X2 – 16X + 32
2(x2 – 8x + 16)
Double Bubble!
2(x – 4)(x – 4)
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5. 5X2 + 10X + 5
• GCF?
• GCF: 5
• Pull out GCF!
• 5(x2 + 2x + 1)
• DOTS or Trinomial?
• Trinomial!
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FACTOR COMPLETELY5. 5X2 + 10X + 5
• 5(x2 + 2x + 1)
Big X
X2
1
1
1
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5. 5X2 + 10X + 5
5(x2 + 2x + 1)
Double Bubble!
5(x + 1)(x + 1)
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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
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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
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a2 - b2
What is this?
DOTS!
What do we get when we factor this?
(a – b) (a + b)
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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?
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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