Week 5 Discussion Essay

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I had a lot of trouble with this discussion post. Please help!! I appreciate all feedback.
For the problems on page 345-6, factor the polynomials using whatever strategy seems appropriate. State what methods you will use and then demonstrate the methods on your problems, explaining the process as you go. Discuss any particular challenges those particular polynomials posed for the factoring.
For the problem on page 353 make sure you use the “ac method” regardless of what the book’s directions say. Show the steps of this method in your work in a similar manner as how the book shows it in examples.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work.):
Factor
GCF
Prime factors
Perfect square
Grouping
If the 3rd letter of your last name is
On Page 345-6
Do the Following
On Page 353
Do the Following
A or N
80 and 106
68
80. Factoring Trinomials w^2+30w+81. To factor this trinomial I need two integers that have a product of 81 and a sum of 30. Since the product and sum are both positive, both integers are positive.
Product Sum
81=9x9 9+9=18
81=3x27 3+27=30
The only integers that have a product of 81 and a sum of 30 are 3 and 27. Then I replace replace and factor by grouping: w^2+3w+27w+81 Replace 30w with 3w+27w w(w+3) 27(w+3) Factor out w and 27

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