Reteach 8-5
8-5. LESSON. Page 2. Copyright © by Holt Rinehart and Winston. 39. Holt Algebra 1. All rights reserved. Name. Date. Class. Reteach. Factoring Special Products
Practice B 8-5
Factoring Special Products. Determine whether each trinomial is a perfect square. If so factor it. If not
8-5 Practice B
8-5. Practice B. Factoring Special Products. Determine whether each trinomial is a perfect square. If so factor it. If not
Chapter 8 Factoring Polynom
When given the area of a kite as a polynomial you can factor to find the kite's dimensions. 8B Applying Factoring. Methods. 8-5 Factoring Special Products. 8-6
5 ) ( x ( 3x 1 )( 3x 1 ) ( 3x 3 )( x 7 )( 2p
8-5. Practice A. Factoring Special Products. Factor each perfect square trinomial by filling in the blanks. 1. x 2. 10x. 25. ( x. 5 )( x. 5 ) ( x. 5 )2. x x. 2
Year at a Glance
8-5 Transforming Exponential Expressions. Unit 9: Polynomials. 9-1 Adding and 9-7 Factoring Special Products. 9-8 Dividing Polynomials. Page 3. Algebra 1 ...
8-5 Special Product and Factoring: (a b)(a b) a2 b2
Lesson 8-5 pages 212–213. ••abcdefghijklmnopqrstuvwxyz. Multiply: (2x. 15)(2x. 15 8-5 Special Product and Factoring: (a b)(a b) a2 b2. Name. Date. (4x)2. (3) ...
Making Practice Fun
Aug 28 2014 Special Products
8-7 Factoring Special Cases
Here is how to recognize a perfect-square trinomial: # The first and the last terms are perfect squares. # The middle term is twice the product of one factor
Untitled
Special Products of Polynomials. GCF Factoring. Factoring Quadratics. Factoring Special Case Quadratics 31) 5 -7x=6(6x+8). 30) 2(5-2x)=16- 3x. 32) 6(8a – 7) = ...
Reteach 8-5
5 )2. Determine whether 9 x 2. 25x. 36 is a perfect square trinomial. If so factor it. Reteach. Factoring Special Products (continued). 8-5.
Practice B 8-5
Practice B. Factoring Special Products. Determine whether each trinomial is a perfect square. If so factor it. If not
practice_a special products.pdf
8-5. Practice A. Factoring Special Products. Factor each perfect square trinomial by filling in the blanks. 1. x 2. 10x. 25. ( x. 5 )( x. 5 ) ( x. 5 )2.
8-5 Practice B
LESSON. 8-5. Practice B. Factoring Special Products. Determine whether each trinomial is a perfect square. If so factor it. If not
Untitled
Reading Strategies. LESSON. 8-5 Compare and Contrast. The chart below shows how to recognize and factor two special products. Perfect Square. Trinomial.
8-5 Factoring Special Products
8-5 Factoring Special Products. A trinomial is a perfect square if: • The first and last terms are perfect squares. • The middle term is two times one
8-8 - Study Guide and Intervention
Factor Differences of Squares The binomial expression a2 - b2 is called the difference of two squares. Factor by grouping. ... 8(y + 5)(y - 5).
Problem Solving 8-5
Factoring Special Products. 8-5. 1. A rectangular fountain has an area of ( 16 x 2. 8x. 1 ) f t 2. The dimensions of the rectangle have the form ax.
Review for Mastery
Factoring Special Products 25 = 5. The last term is a perfect square. 2ab = 2(2x) (5) = 20x ... Factor. 7.x2 - 100. 8. x2 - y2. 9. 9x4 - 64 ...
Section 5.7 Factoring by Special Products
Factoring a Perfect Square Trinomial. In the previous section we considered a variety of ways to factor trinomials of the form ax2 + bx + c. In Example 8
Copyright © by Holt, Rinehart and Winston.
38 Holt Algebra 1
All rights reserved.
If a polynomial is a perfect square trinomial, the polynomial can be factored using a pattern. a 2 ? 2ab ? b 2 a ? b 2 a 2 ? 2ab ? b 2 a ? b 2Determine whether 4 x
2 ? 20x ? 25 is a perfect square trinomial. If so, factor it.If not, explain why.
Step 1: Find a, b, then 2ab.
a ? 4 x 2 ? 2x The first term is a perfect square. b ?25 ? 5
The last term is a perfect square.
2ab ? 2 ?
2x 5 ? 20x Middle term 20x ? 2ab.Therefore, 4 x
2 ? 20x ? 25 is a perfect square trinomial.Step 2: Substitute expressions for a and b into
a ? b 2 .2x ? 5
2Determine whether 9 x
2 ? 25x ? 36 is a perfect square trinomial. If so, factor it.If not, explain why.
Step 1: Find a, b, then 2ab.
a ? 9 x 2 ? 3x The first term is a perfect square. b ? 36? 6 The last term is a perfect square.
2ab ? 2 ?
3x 6 ? 36x Middle term 25x? 2ab. STOP
Because 25x does not equal 2ab, 9x
2 ? 25x ? 36 is not a perfect square trinomial. Determine whether each trinomial is a perfect square. If so, factor it.If not, explain why.
1. 9x
2 ? 30x ? 100 2. x 2 ? 14x ? 49 3. 25x 2 ? 20x ? 4 a ? 3x a ? x a ? 5x b ? 10 b ? 7 b ? 2 2ab ? 60x2ab ? 14x 2ab ? 20x Factor or explain: Factor or explain: Factor or explain:
60x ? 2ab
x ? 7 2 5x ? 2 ? 2Name Date Class
Reteach
Factoring Special Products
8-5LESSON
a107c08-5_rt.indd 38a107c08-5_rt.indd 3812/26/05 8:13:34 AM12/26/05 8:13:34 AMProcess BlackProcess Black
Copyright © by Holt, Rinehart and Winston.
39 Holt Algebra 1
All rights reserved.
Name Date Class
Reteach
Factoring Special Products (continued)
8-5LESSON
If a binomial is a difference of squares, it can be factored using a pattern. a 2 ? b 2 a ? b a ? bDetermine whether 64 x
2 ? 25 is a difference of squares. If so, factor it.If not, explain why.
Step 1: Determine if the binomial is a difference. 64 x2 ? 25 The minus sign indicates it is a difference.
Step 2: Find a and b.
a ? 64 x2 ? 8x The first term is a perfect square. b ?
25 ? 5 The last term is a perfect square.
Therefore, 64 x
2 ? 25 is a difference of squares.Step 3: Substitute expressions for a and b into
a ? b a ? b8x ? 5
8x ? 5
Determine whether 4 x
2 ? 25 is a difference of squares. If so, factor it. If not, explain why. Step 1: Determine if the binomial is a difference. 4 x 2 ? 25 The plus sign indicates a sum. STOP. The binomial is not a difference, so it cannot be a difference of squares.It does not have a GCF either, so 4 x
2 ? 25 cannot be factored. Determine whether each binomial is a difference of squares. If so, factor it. If not, explain why.4. 25 x
2 ? 81 5. 30 x 2 ? 49 6. 4 x 2 ? 121Difference?
yesDifference?
yesDifference?
yes a ? 5x a ? 30 xa ? 2x b ? 9 b ? 7 b ? 11 Factor or explain: Factor or explain: Factor or explain:
5x ? 9
5x ? 9
a is not a perfect square2x ? 11
2x ? 11
Factor.
7. x 2 ? 100 8. x 2 ? y 29. 9 x
4 ? 64 x ? 10 x ? 10 ? x ? y ? x ? y 3 x 2 ? 8 3 x 2 ? 8 a107c08-5_rt.indd 39a107c08-5_rt.indd 3912/26/05 8:13:35 AM12/26/05 8:13:35 AMProcess BlackProcess Black
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59 Holt Algebra 1
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