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High School Math Algebra Pre-Algebra, Student Edition

To factor: the given polynomial

To factor: the given polynomial

Pre-Algebra, Student Edition

Pre-Algebra, Student Edition

1st Edition

ISBN: 9780078885150

Author: McGraw-Hill

Publisher: Glencoe/McGraw-Hill

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Question

Chapter SH, Problem 14.8.7EP

To determine

To factor: the given polynomial

Expert Solution & Answer

Answer to Problem 14.8.7EP

The required result is (x−3)(x−3) .

Explanation of Solution

Given: x2−6x+9

Calculation:

Write the trinomial as the product of two binomials.

Product of first terms is x2 .

x2−6x+9=(x+?)(x+?)

Now find the two terms whose product must be +9 .

Try several factors of +9 so that sum of the product of outer and inner terms must be −6x .

Try the factors 1,9 .

(x+1)(x+9)=x2+x+9x+9=x2+10x+9

It is not true.

Try the factor −3,−3 .

(x−3)(x−3)=x2−3x−3x+9=x2−6x+9

It is true.

Hence, the result is (x−3)(x−3) .

Conclusion:

Hence, the factorization is (x−3)(x−3) .

Chapter SH, Problem 14.8.6EP

Chapter SH, Problem 14.8.8EP

Chapter SH Solutions

Pre-Algebra, Student Edition

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SH - Prob. 12.3.2EP Ch. SH - Prob. 12.3.3EP Ch. SH - Prob. 12.3.4EP Ch. SH - Prob. 12.3.5EP Ch. SH - Prob. 12.3.6EP Ch. SH - Prob. 12.3.7EP Ch. SH - Prob. 12.4.1EP Ch. SH - Prob. 12.4.2EP Ch. SH - Prob. 12.4.3EP Ch. SH - Prob. 12.4.4EP Ch. SH - Prob. 12.4.5EP Ch. SH - Prob. 12.4.6EP Ch. SH - Prob. 12.4.7EP Ch. SH - Prob. 12.4.8EP Ch. SH - Prob. 12.5.1EP Ch. SH - Prob. 12.5.2EP Ch. SH - Prob. 12.5.3EP Ch. SH - Prob. 12.5.4EP Ch. SH - Prob. 12.5.5EP Ch. SH - Prob. 12.5.6EP Ch. SH - Prob. 12.6.1EP Ch. SH - Prob. 12.6.2EP Ch. SH - Prob. 12.6.3EP Ch. SH - Prob. 12.6.4EP Ch. SH - Prob. 12.6.5EP Ch. SH - Prob. 12.6.6EP Ch. SH - Prob. 12.6.7EP Ch. SH - Prob. 12.6.8EP Ch. SH - Prob. 12.7.1EP Ch. SH - Prob. 12.7.2EP Ch. SH - Prob. 12.7.3EP Ch. SH - Prob. 12.7.4EP Ch. SH - Prob. 12.7.5EP Ch. SH - Prob. 12.7.6EP Ch. SH - Prob. 12.7.7EP Ch. SH - Prob. 12.8.1EP Ch. SH - Prob. 12.8.2EP Ch. SH - Prob. 12.8.3EP Ch. SH - Prob. 12.8.4EP Ch. SH - Prob. 13.1.1EP Ch. SH - Prob. 13.1.2EP Ch. SH - Prob. 13.1.3EP Ch. SH - Prob. 13.1.4EP Ch. SH - Prob. 13.1.5EP Ch. SH - Prob. 13.2.1EP Ch. SH - Prob. 13.2.2EP Ch. SH - Prob. 13.2.3EP Ch. SH - Prob. 13.2.4EP Ch. SH - Prob. 13.2.5EP Ch. SH - Prob. 13.3.1EP Ch. SH - Prob. 13.3.2EP Ch. SH - Prob. 13.3.3EP Ch. SH - Prob. 13.3.4EP Ch. SH - Prob. 13.4.1EP Ch. SH - Prob. 13.4.2EP Ch. SH - Prob. 13.4.3EP Ch. SH - Prob. 13.5.1EP Ch. SH - Prob. 13.5.2EP Ch. SH - Prob. 13.6.1EP Ch. SH - Prob. 13.6.2EP Ch. SH - Prob. 13.6.3EP Ch. SH - Prob. 13.6.4EP Ch. SH - Prob. 13.6.5EP Ch. SH - Prob. 13.6.6EP Ch. SH - Prob. 13.6.7EP Ch. SH - Prob. 13.6.8EP Ch. SH - Prob. 13.6.9EP Ch. SH - Prob. 13.6.10EP Ch. SH - Prob. 13.6.11EP Ch. SH - Prob. 13.6.12EP Ch. SH - Prob. 13.7.1EP Ch. SH - Prob. 13.7.2EP Ch. SH - Prob. 13.7.3EP Ch. SH - Prob. 13.7.4EP Ch. SH - Prob. 13.8.1EP Ch. SH - Prob. 13.8.2EP Ch. SH - Prob. 13.8.3EP Ch. SH - Prob. 13.8.4EP Ch. SH - Prob. 13.8.5EP Ch. SH - Prob. 13.8.6EP Ch. SH - Prob. 13.9.1EP Ch. SH - Prob. 13.9.2EP Ch. SH - Prob. 13.9.3EP Ch. SH - Prob. 13.9.4EP Ch. SH - Prob. 13.9.5EP Ch. SH - Prob. 13.10.1EP Ch. SH - Prob. 13.10.2EP Ch. SH - Prob. 13.10.3EP Ch. SH - Prob. 13.10.4EP Ch. SH - Prob. 13.10.5EP Ch. SH - Prob. 13.10.6EP Ch. SH - Prob. 14.1.1EP Ch. SH - Prob. 14.1.2EP Ch. SH - Prob. 14.1.3EP Ch. SH - Prob. 14.1.4EP Ch. SH - Prob. 14.1.5EP Ch. SH - Prob. 14.1.6EP Ch. SH - Prob. 14.1.7EP Ch. SH - Prob. 14.1.8EP Ch. SH - Prob. 14.1.9EP Ch. SH - Prob. 14.1.10EP Ch. SH - Prob. 14.2.1EP Ch. SH - Prob. 14.2.2EP Ch. SH - Prob. 14.2.3EP Ch. SH - Prob. 14.2.4EP Ch. SH - Prob. 14.2.5EP Ch. SH - Prob. 14.2.6EP Ch. SH - Prob. 14.2.7EP Ch. SH - Prob. 14.2.8EP Ch. SH - Prob. 14.2.9EP Ch. SH - Prob. 14.2.10EP Ch. SH - Prob. 14.3.1EP Ch. SH - Prob. 14.3.2EP Ch. SH - Prob. 14.3.3EP Ch. SH - Prob. 14.3.4EP Ch. SH - Prob. 14.3.5EP Ch. SH - Prob. 14.3.6EP Ch. SH - Prob. 14.3.7EP Ch. SH - Prob. 14.3.8EP Ch. SH - Prob. 14.4.1EP Ch. SH - Prob. 14.4.2EP Ch. SH - Prob. 14.4.3EP Ch. SH - Prob. 14.4.4EP Ch. SH - Prob. 14.4.5EP Ch. SH - Prob. 14.4.6EP Ch. SH - Prob. 14.4.7EP Ch. SH - Prob. 14.4.8EP Ch. SH - Prob. 14.4.9EP Ch. SH - Prob. 14.4.10EP Ch. SH - Prob. 14.4.11EP Ch. SH - Prob. 14.4.12EP Ch. SH - Prob. 14.4.13EP Ch. SH - Prob. 14.4.14EP Ch. SH - Prob. 14.5.1EP Ch. SH - Prob. 14.5.2EP Ch. SH - Prob. 14.5.3EP Ch. SH - Prob. 14.5.4EP Ch. SH - Prob. 14.5.5EP Ch. SH - Prob. 14.5.6EP Ch. SH - Prob. 14.5.7EP Ch. SH - Prob. 14.5.8EP Ch. SH - Prob. 14.5.9EP Ch. SH - Prob. 14.5.10EP Ch. SH - Prob. 14.6.1EP Ch. SH - Prob. 14.6.2EP Ch. SH - Prob. 14.6.3EP Ch. SH - Prob. 14.6.4EP Ch. SH - Prob. 14.6.5EP Ch. SH - Prob. 14.6.6EP Ch. SH - Prob. 14.6.7EP Ch. SH - Prob. 14.6.8EP Ch. SH - Prob. 14.6.9EP Ch. SH - Prob. 14.6.10EP Ch. SH - Prob. 14.6.11EP Ch. SH - Prob. 14.6.12EP Ch. SH - Prob. 14.7.1EP Ch. SH - Prob. 14.7.2EP Ch. SH - Prob. 14.7.3EP Ch. SH - Prob. 14.7.4EP Ch. SH - Prob. 14.7.5EP Ch. SH - Prob. 14.7.6EP Ch. SH - Prob. 14.7.7EP Ch. SH - Prob. 14.7.8EP Ch. SH - Prob. 14.7.9EP Ch. SH - Prob. 14.7.10EP Ch. SH - Prob. 14.7.11EP Ch. SH - Prob. 14.8.1EP Ch. SH - Prob. 14.8.2EP Ch. SH - Prob. 14.8.3EP Ch. SH - Prob. 14.8.4EP Ch. SH - Prob. 14.8.5EP Ch. SH - Prob. 14.8.6EP Ch. SH - Prob. 14.8.7EP Ch. SH - Prob. 14.8.8EP Ch. SH - Prob. 14.8.9EP Ch. SH - Prob. 14.8.10EP Ch. SH - Prob. 14.8.11EP Ch. SH - Prob. 1.1MPS Ch. SH - Prob. 1.2MPS Ch. SH - Prob. 1.3MPS Ch. SH - Prob. 1.4MPS Ch. SH - Prob. 1.5MPS Ch. SH - Prob. 1.6MPS Ch. SH - Prob. 1.7MPS Ch. SH - Prob. 2.1MPS Ch. SH - Prob. 2.2MPS Ch. SH - Prob. 2.3MPS Ch. SH - Prob. 2.4MPS Ch. SH - Prob. 2.5MPS Ch. SH - Prob. 2.6MPS Ch. SH - Prob. 2.7MPS Ch. SH - Prob. 2.8MPS Ch. SH - Prob. 2.9MPS Ch. SH - Prob. 2.10MPS Ch. SH - Prob. 2.11MPS Ch. SH - Prob. 3.1MPS Ch. SH - Prob. 3.2MPS Ch. SH - Prob. 3.3MPS Ch. SH - Prob. 3.4MPS Ch. SH - Prob. 3.5MPS Ch. SH - Prob. 3.6MPS Ch. SH - Prob. 3.7MPS Ch. SH - Prob. 3.8MPS Ch. SH - Prob. 3.9MPS Ch. SH - Prob. 3.10MPS Ch. SH - Prob. 3.11MPS Ch. SH - Prob. 3.12MPS Ch. SH - Prob. 4.1MPS Ch. SH - Prob. 4.2MPS Ch. SH - Prob. 4.3MPS Ch. SH - Prob. 4.4MPS Ch. SH - Prob. 4.5MPS Ch. SH - Prob. 4.6MPS Ch. SH - Prob. 4.7MPS Ch. SH - Prob. 4.8MPS Ch. SH - Prob. 4.9MPS Ch. SH - Prob. 4.10MPS Ch. SH - Prob. 4.11MPS Ch. SH - Prob. 5.1MPS Ch. SH - Prob. 5.2MPS Ch. SH - Prob. 5.3MPS Ch. SH - Prob. 5.4MPS Ch. SH - Prob. 5.5MPS Ch. SH - Prob. 5.6MPS Ch. SH - Prob. 5.7MPS Ch. SH - Prob. 5.8MPS Ch. SH - Prob. 5.9MPS Ch. SH - Prob. 6.1MPS Ch. SH - Prob. 6.2MPS Ch. SH - Prob. 6.3MPS Ch. SH - Prob. 6.4MPS Ch. SH - Prob. 6.5MPS Ch. SH - Prob. 6.6MPS Ch. SH - Prob. 6.7MPS Ch. SH - Prob. 6.8MPS Ch. SH - Prob. 6.9MPS Ch. SH - Prob. 6.10MPS Ch. SH - Prob. 7.1MPS Ch. SH - Prob. 7.2MPS Ch. SH - Prob. 7.3MPS Ch. SH - Prob. 7.4MPS Ch. SH - Prob. 7.5MPS Ch. SH - Prob. 7.6MPS Ch. SH - Prob. 7.7MPS Ch. SH - Prob. 7.8MPS Ch. SH - Prob. 7.9MPS Ch. SH - Prob. 7.10MPS Ch. SH - Prob. 8.1MPS Ch. SH - Prob. 8.2MPS Ch. SH - Prob. 8.3MPS Ch. SH - Prob. 8.4MPS Ch. SH - Prob. 8.5MPS Ch. SH - Prob. 8.6MPS Ch. SH - Prob. 8.7MPS Ch. SH - Prob. 8.8MPS Ch. SH - Prob. 8.9MPS Ch. SH - Prob. 8.10MPS Ch. SH - Prob. 9.1MPS Ch. SH - Prob. 9.2MPS Ch. SH - Prob. 9.3MPS Ch. SH - Prob. 9.4MPS Ch. SH - Prob. 9.5MPS Ch. SH - Prob. 9.6MPS Ch. SH - Prob. 9.7MPS Ch. SH - Prob. 9.8MPS Ch. SH - Prob. 9.9MPS Ch. SH - Prob. 9.10MPS Ch. SH - Prob. 10.1MPS Ch. SH - Prob. 10.2MPS Ch. SH - Prob. 10.3MPS Ch. SH - Prob. 10.4MPS Ch. SH - Prob. 10.5MPS Ch. SH - Prob. 10.6MPS Ch. SH - Prob. 10.7MPS Ch. SH - Prob. 10.8MPS Ch. SH - Prob. 10.9MPS Ch. SH - Prob. 10.10MPS Ch. SH - Prob. 11.1MPS Ch. SH - Prob. 11.2MPS Ch. SH - Prob. 11.3MPS Ch. SH - Prob. 11.4MPS Ch. SH - Prob. 11.5MPS Ch. SH - Prob. 11.6MPS Ch. SH - Prob. 11.7MPS Ch. SH - Prob. 11.8MPS Ch. SH - Prob. 12.1MPS Ch. SH - Prob. 12.2MPS Ch. SH - Prob. 12.3MPS Ch. SH - Prob. 12.4MPS Ch. SH - Prob. 12.5MPS Ch. SH - Prob. 12.6MPS Ch. SH - Prob. 12.7MPS Ch. SH - Prob. 13.1MPS Ch. SH - Prob. 13.2MPS Ch. SH - Prob. 13.3MPS Ch. SH - Prob. 13.4MPS Ch. SH - Prob. 13.5MPS Ch. SH - Prob. 13.6MPS Ch. SH - Prob. 13.7MPS Ch. SH - Prob. 13.8MPS

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