Factoring

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Factoring

• Session 6
• Factoring Special Forms
• Perfect Square Trinomial (PST)
• Difference of Two Squares (DoTS)

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• Practice Test 2 NOV. 18
• UNIT QUIZ 1 Nov. 22
• GCF, Grouping, DoTS, PST

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OBJECTIVE

• Factorize algebraic expression using DoTS.
• Factorize algebraic expression using SoB.

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Factoring Special Forms
Perfect Square Trinomials


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Perfect Square Trinomials

• A2 2AB B2 (A B)2
• A2 - 2AB B2 (A - B)2

1st and last terms are perfect squares middle
term is 2x the product of the square roots of 1st
last terms
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Perfect Square Trinomials

• Factor x2 10x 25
• x2 10x 25 (x)2 2(5x) (5)2 (x
  5)2
• Factor x2 - 12x 36
• x2 - 12x 36 (x)2 2(6x) (6)2 (x -
  6)2

A2 2AB B2
(AB)2
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Factor the following

1. 16x2 40xy 25y2
2. 100x2 180x 81
3. 36b3b2
4. 10n2 100n250
5. 49n2 -56n16
6. 200m4 80m3 8m2

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The Difference of Two Squares
The Difference of Two Squares
The difference of the squares of two terms, factors as the product of a sum and a difference of those terms.
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The Difference of Perfect Squares

• Factor x2 - 25
• x2 - 25 x2 52 (x 5) (x 5)
• Factor 9x2 - 4y2
• 9x2 - 4y2 (3x)2 (2y)2 (3x 2y) (3x -
  2y)

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Factorize the following

• k2 81 k2 92
• (k 9)(k 9)

Sum and Difference of Two Squares (DoTS) (x
y)(x y) x2 y2
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Factorize the following

• 9a2 4

Sum and Difference of Two Squares (DoTS) (x
y)(x y) x2 y2
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Factorize the following

• 25a2 64

Sum and Difference of Two Squares (DoTS) (x
y)(x y) x2 y2
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Factorize the following

• x2 16

Sum and Difference of Two Squares (DoTS) (x
y)(x y) x2 y2
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Factor the following completely

1. 4m2 -25
2. 9x2 - 1
3. 98n2 -200
4. 400 - 36v2
5. 6x2 6y2

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Seatwork (Notebook)

• NSM Book 2
• page 91, Exercise 3e
• no. 3, letters f j
• no. 4, letter g i

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Seatwork no. 3 (f j)

1. 81 16x2
2. 64 9a2
3. 4h2 81
4. 2x2 18
5. 3x2 147

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Seatwork no. 4 (g i)

1. 3x2 27y2
2. 64a2 4b2
3. k2 ¼ h2

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SEATWORK (Notebook)
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Warm-up (Notebook)

• NSM Book 2
• page 92, Exercise 3e
• no. 7, letters a j

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(No Transcript)
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Factor the following completely

• 1)
• 2) 8r3 -64r2 r -8
• 3) 63n3 54n2 -105n-90
• 4) 42mc 36md - 7n2c - 6n2d

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PRACTICE TEST25 MINS
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Evaluate the following by factorization

• 79 ? 83 69 ? 83

83 (79 69) 83 (10) 830
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Evaluate the following by factorization

• 1032 9

(103 3)(103 3) (106)(100) 10,600
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Evaluate the following by factorization

• 592 412

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Evaluate the following by factorization

• 682 322

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Evaluate the following by factorization

• 7.72 2.32

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Evaluate the following by factorization

• 26.72 23.32

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Seatwork (Notebook)

• NSM Book 2
• page 92, Exercise 3e
• no. 5, letters f j
• no. 6, letters b, d and f

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Seatwork no. 5 (f j)

1. 2562 1562
2. 8922 82
3. 9032 972
4. 7632 2372
5. 6592 3412

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Seatwork no. 6

• 5.16 ? 5.6 5.16 ? 4.4
• 587 ? 23 23 ? 487
• 842 84 ? 74

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HOMEWORKReview Questions 3 page 108 2. a j
3. a j1 whole pad paperSTUDY
FOR A UNIT TEST ON TUESDAY