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24 January 2011
Algebra 2
You know what it is…….
Green and YellowGreen and Yellow
You know what it is…….
Green and YellowGreen and Yellow
You know what it is…….
Green and YellowGreen and Yellow
You know what it is…….
Green and YellowGreen and Yellow
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Bellringer:Which of the following fractions is between 2/5 and 4/5?
1. 1/102. 3/93. 6/74. 7/105. 9/10
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Agenda:
• Bellringer / Homework Check• Multiplying Binomials Using Box Method• Student Practice• Multiplying Binomials Using FOIL Method• Student Practice• Journal / Reflection• Homework
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Make a 2x2 square box
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Write the first binomial across the top x +4
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Write the second binomial going down x +4x
-3
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Multiply x*x x +4x x2
-3
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Multiply x*4 x +4x x2 4x
-3
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Multiply -3*x x +4x x2 4x
-3 -3x
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Multiply -3*4 x +4x x2 4x
-3 -3x -12
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
List each term inside the box x +4x x2 4x
-3 -3x -12
x2 + 4x – 3x - 12XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24Box Method You can use the box method to
multiply two binomials:
Example 1: (x + 4)(x – 3)
Simplify x +4x x2 4x
-3 -3x -12
x2 + 4x – 3x – 12 = x2 + x - 12XEI.405:Multiply 2 Binomials
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Multiply the following binomials:(x – 3)(x – 2)
1 2 3 4 5
20% 20% 20%20%20%
0 of 30
1. x2 – x – 62. x2 – 5x – 63. x2 – 5x + 64. x2 + 5x + 65. x2 + x + 6
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Multiply the following binomials:(x + 5)(x – 2)
1 2 3 4 5
20% 20% 20%20%20%1. x2 + 3x – 102. x2 – 7x – 103. x2 – 3x + 104. x2 + 3x + 105. x2 + 7x + 10
0 of 30
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Notes: Multiplying Binomials 1/24FOIL
MethodYou can use the FOIL to multiply two binomials.
FOIL stands for:FirstOuterInnerLast
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24FOIL
MethodFirst Outer Inner Last
Example 2: (x – 4)(x – 2)
-Multiply the First term in each set
x2
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24FOIL
MethodFirst Outer Inner Last
Example 2: (x – 4)(x – 2)
-Multiply the Outer term in each set
x2 – 2x
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24FOIL
MethodFirst Outer Inner Last
Example 2: (x – 4)(x – 2)
-Multiply the Inner term in each set
x2 – 2x – 4x
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24FOIL
MethodFirst Outer Inner Last
Example 2: (x – 4)(x – 2)
-Multiply the Last term in each set
x2 – 2x – 4x + 8
XEI.405:Multiply 2 Binomials
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Notes: Multiplying Binomials 1/24FOIL
MethodFirst Outer Inner Last
Example 2: (x – 4)(x – 2)
- Combine like terms
x2 – 2x – 4x + 8 = x2 – 6x + 8
Final answer: x2 – 6x + 8XEI.405:Multiply 2 Binomials
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What is the product of the First terms?(x + 3)(x + 8)
1 2 3 4
25% 25%25%25%1. x2
2. 3x3. 244. 8x
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What is the product of the Outer terms? (x + 3)(x + 8)
1 2 3 4
25% 25%25%25%1. x2
2. 3x3. 244. 8x
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What is the product of the Inner terms? (x + 3)(x + 8)
1 2 3 4
25% 25%25%25%1. x2
2. 3x3. 244. 8x
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What is the product of the Last terms? (x + 3)(x + 8)
1 2 3 4
25% 25%25%25%1. x2
2. 3x3. 244. 8x
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Journal / Reflection
• How do you feel about your performance this first semester?
• How do you feel about the teaching this first semester