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Ashford 6: – Week 5 – Assignment

Pythagorean Quadratic

Read the following instructions in order to complete his assignment and review the example of how to complete the math required for this assignment, and review the example of how to complete the math required for this assignment:

• Read problem 98 on page 371 of Elementary and Intermediate Algebra. Along with factoring, this problem also requires the use of the Pythagorean Theorem to solve it.

• On your scratch paper, draw a diagram which includes the location of Castle Rock and the dimensions of a triangle with the given number of paces. Seeing the relationship of the sides and where the right angle is will help you know how to apply the Theorem. You may include the diagram in your paper but are not required to do so.

• Write the equation first by inserting the given binomials into the Pythagorean Theorem. Once you have your equation written, solve it using the methods from section 5.6 of Elementary and Intermediate Algebra. Show all steps and explain what you are doing as you go.
• Write a two- to three-page paper that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the Instructor Guidance and be concise in your reasoning. In the body of your essay, do the following:
• Demonstrate your solution to the above problem, making sure to include all mathematical work and an explanation for each step.

• Explain which solution to the equation is the best solution and why it is the best solution. How many steps is the map from Castle Rock?

• Incorporate the following four math vocabulary words into your writing. Use bold font to emphasize these words in your writing (Do not write definitions for the words; use them appropriately in sentences describing your math work):

• Quadratic

• Zero factor

• Pythagorean Theorem

• Compound equation

Discussion

 Factoring

Read the following instructions in order to complete this discussion, and review the example of how to complete the math required for this assignment:

• On pages 345-6 and 353 of Elementary and Intermediate Algebra, there are many factoring problems. You will find your assignment in the following table.

 If the 3rd letter of your last name is On Page 345-6Do the Following On Page 353 Do the Following A or N 80 and 106 68 B or O 72 and 104 38 C or P 98 and 102 64 D or Q 68 and 100 30 E or R 82 and 96 58 F or S 66 and 54 26 G or T 92 and 64 56 H or U 70 and 62 48 I or V 90 and 56 28 J or W 74 and 60 62 K or X 88 and 58 34 L or Y 78 and 52 66 M or Z 86 and 76 36
• 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

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