tag:blogger.com,1999:blog-35864077956315988762024-03-13T08:21:26.394-07:00PolynomialsAnonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-3586407795631598876.post-24075190617569029742012-12-29T13:21:00.003-08:002012-12-29T13:59:05.162-08:00CONCLUSION<div class="separator" style="clear: both; text-align: center;">
<a href="http://www.magicalmaths.org/wp-content/uploads/2012/11/conclusion-introduction-starter-plenary.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="252" src="http://www.magicalmaths.org/wp-content/uploads/2012/11/conclusion-introduction-starter-plenary.jpg" width="320" /></a></div>
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<span style="background-color: white; font-family: Georgia, Times New Roman, serif; font-size: 16px; line-height: 19px; text-align: -webkit-auto;">At the conclusion of this project, you will have learned the background of how the process of multiplying, substracting, dividing, additioning polynomials came about, understood the language used, and presented multiple methods to complete the process depending on the problem given.</span><br />
<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; font-size: 16px; line-height: 19px; text-align: -webkit-auto;">You will have discovered when this math is utilized and how important it is to understand for professions in the real world. You learned the usage of the techniques and how to sketch a polynomial's graph with the help of the videos.</span><span style="background-color: white; font-size: 16px; line-height: 19px; text-align: -webkit-auto;">differently next time as a group.</span></span><br />
<span style="background-color: white; font-family: Georgia, Times New Roman, serif; font-size: 16px; line-height: 19px; text-align: -webkit-auto;">You should be able to successful complete the process of operating polynomials yourself and explain to anyone, why it is important and when it would be beneficial to know.</span>
Anonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.com0tag:blogger.com,1999:blog-3586407795631598876.post-3144584331827793922012-12-29T12:56:00.001-08:002012-12-29T12:56:20.360-08:00EVALUATION<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh19wJLxm5_S1iWJXW-EVOb-OWBjBfPH_b3Yb3N7CvvJVIAbBxTH26tnKD6ItYCc4prgeJoskQfF2O_NgQC3MqQ702wPpX_Lgdt8n0G76YQSI0ORf7w_tTwryusDGitD5KNEtq6HAL5Q2Q/s1600/rubric.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="396" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh19wJLxm5_S1iWJXW-EVOb-OWBjBfPH_b3Yb3N7CvvJVIAbBxTH26tnKD6ItYCc4prgeJoskQfF2O_NgQC3MqQ702wPpX_Lgdt8n0G76YQSI0ORf7w_tTwryusDGitD5KNEtq6HAL5Q2Q/s640/rubric.jpg" width="640" /></a></div>
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Anonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.com0tag:blogger.com,1999:blog-3586407795631598876.post-56747250785416817242012-12-29T05:08:00.002-08:002012-12-29T13:49:51.189-08:00PROCESS<br />
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<span class="stepNumber" style="border-width: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: red; font-size: large;"> 1 </span></span><span style="font-family: Georgia; font-size: 15px; font-style: inherit; line-height: 1.5;">Get all the terms on the same side. Before you can solve a polynomial equation, you have zero on one side of the equation and everything else on the other. Fortunately, you can use addition or </span></div>
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subtraction to move things around. For example, if you have the equation x^2 + 2x = 8, you can<span style="font-style: inherit; line-height: 1.5;"> subtract 8 from both sides: x^2 +2x = 8x^2 + 2x -8 = 8 -8x^2 +2x -8 = 0</span></div>
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<span style="color: red; font-family: Arial, Helvetica, sans-serif; font-size: large; font-style: inherit; line-height: normal;"> 3 </span>Factor out any common variables. If every term in your polynomial has a variable in it, you can factor it out just like a number. For example, in the polynomial 3a^2 +a = 0 , both terms have an "a" in them: 3a^2 +a = 0a(3a +1) = 0</div>
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<li class="step " style="background-color: white; border-width: 0px; font-family: Arial, Helvetica, sans-serif; list-style: none; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: center; vertical-align: baseline;"><span class="stepNumber" style="border-width: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: red; font-size: large;"> 4 </span></span><span style="font-family: Georgia; font-size: 15px; font-style: inherit; line-height: 1.5;">Factor any remaining complex terms. For example, once you factor out the number "2" from 2x^2 - 2 = 0, you are left with 2(x^2 -1) = 0. You can factor this one step further: 2(x^2 -1) = 02(x+1)(x - 1) = 0 See the link below to learn more about factoring polynomials.</span></li>
<li class="step " style="background-color: white; border-width: 0px; font-family: Arial, Helvetica, sans-serif; list-style: none; margin: 0px 0px 20px; outline: 0px; padding: 0px; text-align: center; vertical-align: baseline;"><span class="stepNumber" style="border-width: 0px; font-family: inherit; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="color: red; font-size: large;">5 </span></span><span style="font-family: Georgia; font-size: 15px; font-style: inherit; line-height: 1.5;">Solve the equation. Once the left side is factored out, you can get a solution by noticing that every part with a variable is equal to zero. For example, in 2(x + 1)(x - 1) = 0, both x + 1 and x - 1 are equal to zero. You can get two solutions by just plugging in the numbers:First Solutionx + 1 = 0x + 1 - 1 = 0 - 1x = -1 Second Solution x - 1 = 0 x - 1 + 1 = 0 + 1x = 1</span></li>
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; line-height: 19px; text-align: -webkit-auto;"><span style="font-size: large;"><a href="http://en.wikipedia.org/wiki/Polynomial" target="_blank">For the whole story</a></span></span></span><br />
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; line-height: 19px; text-align: -webkit-auto;"><span style="font-size: large;"><a href="http://education-portal.com/academy/lesson/polynomials-functions-exponentials-and-simplifying.html" target="_blank">Polynomials with Exponentials</a></span></span></span><br />
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<a href="http://www.wolframalpha.com/widgets/view.jsp?id=6861b009b01bbe10b0fa11172c051b56" target="_blank"><span style="font-size: large;">Polynomial Calculator</span></a><br />
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; line-height: 19px; text-align: -webkit-auto;"><a href="http://mathworld.wolfram.com/Polynomial.html" target="_blank"><span style="font-size: large;">Another Source</span></a></span></span><br />
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Anonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.com0tag:blogger.com,1999:blog-3586407795631598876.post-4077050222652485002012-12-29T04:41:00.002-08:002012-12-29T04:49:24.820-08:00TASK<div class="separator" style="clear: both; text-align: center;">
<a href="http://img03.blogcu.com/v2/images/orj/m/a/t/matematiksevinci/matematiksevinci_1328226159139.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="236" src="http://img03.blogcu.com/v2/images/orj/m/a/t/matematiksevinci/matematiksevinci_1328226159139.jpg" width="320" /></a></div>
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<span style="font-family: Georgia, Times New Roman, serif;">Polynomial comes from the Greek <i>poly</i>, "many" and medieval Latin <i>binomium</i>, "<a href="http://en.wikipedia.org/wiki/Binomial" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Binomial">binomial</a>". The word was introduced in Latin by <a class="mw-redirect" href="http://en.wikipedia.org/wiki/Franciscus_Vieta" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Franciscus Vieta">Franciscus Vieta</a>.</span></div>
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<span style="font-family: Georgia, Times New Roman, serif;">Polynomials appear in a wide variety of areas of mathematics and science. For example, they are used to form polynomial equations, which encode a wide range of problems, from elementary <a href="http://en.wikipedia.org/wiki/Word_problem_(mathematics_education)" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Word problem (mathematics education)">word problems</a> to complicated problems in the sciences; they are used to define polynomial functions, which appear in settings ranging from basic <a href="http://en.wikipedia.org/wiki/Chemistry" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Chemistry">chemistry</a> and <a href="http://en.wikipedia.org/wiki/Physics" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Physics">physics</a> to<a href="http://en.wikipedia.org/wiki/Economics" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Economics">economics</a> and <a href="http://en.wikipedia.org/wiki/Social_science" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Social science">social science</a>; they are used in <a href="http://en.wikipedia.org/wiki/Calculus" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Calculus">calculus</a> and <a href="http://en.wikipedia.org/wiki/Numerical_analysis" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Numerical analysis">numerical analysis</a> to approximate other functions. In advanced mathematics, polynomials are used to construct <a href="http://en.wikipedia.org/wiki/Polynomial_ring" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Polynomial ring">polynomial rings</a>, a central concept in <a href="http://en.wikipedia.org/wiki/Abstract_algebra" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Abstract algebra">abstract algebra</a> and <a href="http://en.wikipedia.org/wiki/Algebraic_geometry" style="background-image: none; color: #0b0080; text-decoration: initial;" title="Algebraic geometry">algebraic geometry</a>.</span></div>
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<span style="font-family: Georgia, Times New Roman, serif;"><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">In </span><a href="http://en.wikipedia.org/wiki/Mathematics" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Mathematics">mathematics</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">, a </span><b style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">polynomial</b><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;"> is an </span><a href="http://en.wikipedia.org/wiki/Expression_(mathematics)" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Expression (mathematics)">expression</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;"> of </span><a href="http://en.wikipedia.org/wiki/Finite_set" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Finite set">finite</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;"> length constructed from </span><a href="http://en.wikipedia.org/wiki/Variable_(mathematics)" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Variable (mathematics)">variables</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;"> (also called </span><a href="http://en.wikipedia.org/wiki/Indeterminate_(variable)" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Indeterminate (variable)">indeterminates</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">) and </span><a href="http://en.wikipedia.org/wiki/Coefficient" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Coefficient">constants</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">, using only the operations of </span><a href="http://en.wikipedia.org/wiki/Addition" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Addition">addition</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">, </span><a href="http://en.wikipedia.org/wiki/Subtraction" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Subtraction">subtraction</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">,</span><a href="http://en.wikipedia.org/wiki/Multiplication" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Multiplication">multiplication</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">, and non-negative </span><a href="http://en.wikipedia.org/wiki/Integer" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto; text-decoration: initial;" title="Integer">integer</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;"> </span><a href="http://en.wikipedia.org/wiki/Exponentiation" style="background-color: white; background-image: none; color: #0b0080; font-size: 13px; line-height: 19px; text-align: -webkit-auto;" title="Exponentiation">exponents</a><span style="background-color: white; font-size: 13px; line-height: 19px; text-align: -webkit-auto;">. This web-quest shows you the operations.</span></span>Anonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.com0tag:blogger.com,1999:blog-3586407795631598876.post-75999165017455727962012-12-28T13:03:00.002-08:002012-12-29T04:15:15.347-08:00INTRODUCTION<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxbEAPF5GPD50SwPIhyew9GAkhf_oeT31nFOcXrbMtiwNBsj1oug4En8rtu2SrKl7XMiqUbcLCT9MBsyVJ9nztEl3gbjxKo9HEaQ3VDFrNPEBKjMbROsYpQFe4Oy7vs9alh08RPYUDUhI/s1600/article-new_ehow_images_a06_0r_3j_everyday-use-polynomials-800x800.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhxbEAPF5GPD50SwPIhyew9GAkhf_oeT31nFOcXrbMtiwNBsj1oug4En8rtu2SrKl7XMiqUbcLCT9MBsyVJ9nztEl3gbjxKo9HEaQ3VDFrNPEBKjMbROsYpQFe4Oy7vs9alh08RPYUDUhI/s320/article-new_ehow_images_a06_0r_3j_everyday-use-polynomials-800x800.jpg" width="320" /></a></div>
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<span style="background-color: white;"><span style="font-family: Georgia, Times New Roman, serif;"><b>Polynomials</b> can be used to model different situations, like in the stock market to see how prices will vary over time, in physics to describe the trajectory of projectiles and in industry. <b>Polynomial integrals</b> can be used to express energy, inertia and voltage difference, to name a few applications.</span></span><br />
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<span style="background-color: white; border-width: 0px; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><span style="font-family: Georgia, Times New Roman, serif;">In this webquest, you will discover the operations of polynomials.</span></span>Anonymoushttp://www.blogger.com/profile/18432435089246222403noreply@blogger.com0