[PDF] Reteach 8-5 5 )2. Determine whether 9





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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 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 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 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 2

Determine 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

2

Determine 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 ? 60x
2ab ? 14x 2ab ? 20x Factor or explain: Factor or explain: Factor or explain:

60x ? 2ab

x ? 7 2 5x ? 2 ? 2

Name Date Class

Reteach

Factoring Special Products

8-5

LESSON

a107c08-5_rt.indd 38a107c08-5_rt.indd 3812/26/05 8:13:34 AM12/26/05 8:13:34 AM

Process BlackProcess Black

Copyright © by Holt, Rinehart and Winston.

39 Holt Algebra 1

All rights reserved.

Name Date Class

Reteach

Factoring Special Products (continued)

8-5

LESSON

If a binomial is a difference of squares, it can be factored using a pattern. a 2 ? b 2 a ? b a ? b

Determine 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 x
2 ? 25 The minus sign indicates it is a difference.

Step 2: Find a and b.

a ? 64 x
2 ? 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 ? b

8x ? 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 ? 121

Difference?

yes

Difference?

yes

Difference?

yes a ? 5x a ? 30 x
a ? 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 square

2x ? 11

2x ? 11

Factor.

7. x 2 ? 100 8. x 2 ? y 2

9. 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 AM

Process BlackProcess Black

Copyright © by Holt, Rinehart and Winston.

59 Holt Algebra 1

All rights reserved.

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