Description
Use the Factor Theorem to determine a polynomial equation, of lowest degree, that has only the indicated roots:
2 is a double root, 0 is a root of multiplicity 5
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Explanation & Answer
Hello!
Root 2 means (x-2) as a factor, double root means (x-2)^2.
Also "0 is a root of multiplicity 5" means x^5.
x^5*(x-2)^2 = 0.
We can remove parentheses: (x-2)^2 = x^2 - 4x + 4,
x^5*(x-2)^2 = x^7 - 4x^6 + 4x^5 (=0).
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Chapter 1, “The What and the Why of Statistics” (pp. 1–25)Wagner, III, W. E. (2020). Using IBM® SPSS® statistics for research methods and social science statistics (7th ed.). Thousand Oaks, CA: Sage Publications.
Chapter 1, “Overview”Dietz, T., & Kalof, L. (2009). Introduction to social statistics: The logic of statistical reasoning. West Sussex, United Kingdom: Wiley-Blackwell.Introduction to Social Statistics: The Logic of Statistical Reasoning, 1st Edition by Dietz, T.; Kalof, L. Copyright 2009 by John Wiley & Sons - Books. Reprinted by permission of John Wiley & Sons - Books via the Copyright Clearance Center.
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(Links to an external site.)Extra Credit Support (this reading is provided for those wishing to complete the extra credit part of the assignment)Watch 3 ways to spot a bad statistic (Links to an external site.) (Links to an external site.) by Mona Chalabi, Data Journalist. In her TED talk Chalabi provides a lot of information to help you think about both examining and producing good data visualizations. Watch The simple genius of a good graphic (Links to an external site.) by Tommy McCall, Information Designer. His talk discusses thinking about how graphics are used to effectively present data. Review the different types of graphs that can be used to present data on Data Grammar. (Links to an external site.) (Links to an external site.) I am asking you to look at this to start thinking about the types of graphics that can be used to represent the ideas behind your numbers. With technologies like Visme (Links to an external site.) 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Document Audience, Purpose, and ElementsYour document is to persuade incoming freshmen in your field as to the importance of Probability and Statistics to your field (the Department you are studying in). The linked exemplar provides an example of content and the required appearance of the document. The tone of this is to be professional, but accessible. Your writing on the page should flow from one section to the next, BUT it should look accessible, with breaks between paragraphs and headings, so it is not an overwhelming wall of text. You will include the following headings/subheadings: A Document Title. Document titles must briefly and precisely indicate the topic of the document. Ideally, it is also something that will catch the readers’ attention.Introduction. As with any professional document, the beginning of the document needs to provide readers with an overview of why this is important to them and what it will address. This document will do two things – 1) it will discuss the ways in which probability and statistics are used in your field, and 2) it will use data to support the argument that this is important for student goals in attending college. Both of these aspects should be addressed in the introduction. The Use of Statistics in [your field]. Be sure that you have enough information to complete this section. You can look for additional sources to provide specific examples of probability and statistics applications. Each field will vary in the use of statistics but some of the things you may what to find information on include:The purpose of using statistics in your field. By this I mean, what does it accomplish? What type of input into the work of your field statistics provides? By this, I mean aspects of work such as defining problems, evaluating systems and products, and creating products and tools. If you have clearly dividable topics (such as ways probability and statistics are used,) use sub-headings to divide the sections. In-text citations are required in this section. No direct quotations are allowed, and the work must be in your own words. Probability and Statistics Literacy will Enhance Your Employability. In this section, you will include a discussion of the relevant parts of the data you reviewed above to indicate to students how literacy in probability and statistics is important for their ability to get a job. In-text citations are required in this section. No direct quotations are allowed, and the work must be in your own words. Extra Credit Option (5 points) For extra credit you may include a presentation of the relevant part(s) of the data set(s) we reviewed for this assignment. It cannot be a copy of the tables, or a table of any type. 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They must also be free of errors. Two approaches may help you with finding typos and grammar and word errors. First, read your work out loud to yourself after having stepped away from it for a while (at least a day). Doing this will help you catch wording errors or omissions and poorly constructed sentences. Second, you should use advanced grammar-checking software to review for grammar, punctuation, or other writing errors. The base paid platform of Grammarly is one option; however, others are available as well. Document FormatUse the template provided for the field (Department) you are in. You may opt to change the header image if you do not like the one I selected, but it must fill the space as the current one does. 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On this webpage, you will find about a paragraph into the 'Career Readiness Competencies' section hyperlinks to a description of each of the career readiness competencies. Review them to assist you in determining which ones are competencies you will improve with the work in this course. Compose Content See the hyperlinks below for links to the templates to be used for the document you will create for this assignment. If you do not like the image I created for your field, you may change it, as long as you adjust the text and footer bar colors to match your new image.Writing a professional document.Organization – a professional document must be organized clearly and consistently.Flow – your writing must connect one idea to the next throughout the document.Paragraphs and sentences – You will write this document in paragraphs, using full sentences.Language – Use precise language, stating exactly what you are talking about. Do not use slang, shortened forms of words, or figures of speech. Acronyms may only be used after first spelling out the words with the initials behind it in parenthesis after the words.Grammar and punctuation – Use grammar editing tools to assure that your grammar and punctuation are correct. This is a necessary professional habit. You will lose points if the grader has to struggle to understand what you are saying.No quotations and NO plagiarism – They are not acceptable practices in professional engineering writing to use direct quotations. The words in your document must represent your own thinking, based on the information you have gathered. Citing credible sources from which you got ideas gives you credibility and it is required in this work. If you are unclear on plagiarism or are from a region of the world that may think about it differently, review the Plagiarism page. Document Audience, Purpose, and ElementsYour document is to persuade incoming freshmen in your field as to the importance of Probability and Statistics to your field (the Department you are studying in). The linked exemplar provides an example of content and the required appearance of the document. The tone of this is to be professional, but accessible. Your writing on the page should flow from one section to the next, BUT it should look accessible, with breaks between paragraphs and headings, so it is not an overwhelming wall of text. You will include the following headings/subheadings: A Document Title. Document titles must briefly and precisely indicate the topic of the document. Ideally, it is also something that will catch the readers’ attention.Introduction. As with any professional document, the beginning of the document needs to provide readers with an overview of why this is important to them and what it will address. This document will do two things – 1) it will discuss the ways in which probability and statistics are used in your field, and 2) it will use data to support the argument that this is important for student goals in attending college. Both of these aspects should be addressed in the introduction. The Use of Statistics in [your field]. Be sure that you have enough information to complete this section. You can look for additional sources to provide specific examples of probability and statistics applications. Each field will vary in the use of statistics but some of the things you may what to find information on include:The purpose of using statistics in your field. By this I mean, what does it accomplish? What type of input into the work of your field statistics provides? By this, I mean aspects of work such as defining problems, evaluating systems and products, and creating products and tools. If you have clearly dividable topics (such as ways probability and statistics are used,) use sub-headings to divide the sections. In-text citations are required in this section. No direct quotations are allowed, and the work must be in your own words. Probability and Statistics Literacy will Enhance Your Employability. In this section, you will include a discussion of the relevant parts of the data you reviewed above to indicate to students how literacy in probability and statistics is important for their ability to get a job. In-text citations are required in this section. No direct quotations are allowed, and the work must be in your own words. Extra Credit Option (5 points) For extra credit you may include a presentation of the relevant part(s) of the data set(s) we reviewed for this assignment. It cannot be a copy of the tables, or a table of any type. You will need to generate a different type of graphical presentation of the data that you think will be clear, readable, and interesting to students. Conclusion. In this section, you summarize what you discussed about the use of probability and statistics in your field, and how having this competency will enhance students’ employability when they graduate. Reference List. The document will end with an APA formatted reference list (Links to an external site.). Only include items on the reference list for which you have made an APA in-text citation (Links to an external site.) in your document. However, the required reading for your field/Department must be included. Citations are required any place in your document where you have used the ideas, data, or images of others requires an in-text citation. You may not quote your sources, you must develop your own words.Revising and editing, and proofreading: Professional documents must be readable, clear, well organized, and concise. They must also be free of errors. Two approaches may help you with finding typos and grammar and word errors. First, read your work out loud to yourself after having stepped away from it for a while (at least a day). Doing this will help you catch wording errors or omissions and poorly constructed sentences. Second, you should use advanced grammar-checking software to review for grammar, punctuation, or other writing errors. The base paid platform of Grammarly is one option; however, others are available as well. Document FormatUse the template provided for the field (Department) you are in. You may opt to change the header image if you do not like the one I selected, but it must fill the space as the current one does. If you change it you must also change the title font color and bar at the bottom to match the colors in the new header.Biomedical and Chemical Engineering Template downloadCivil Engineering Template downloadComputer Engineering, Computer Science, and Electrical Engineering Template downloadIndustrial and Mechanical Engineering Template
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