ASSIGNMENT 6 MA240 College Algebra Directions: Be sure to make an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated‚ answer in complete sentences‚ and be sure to use correct English spelling and grammar. Sources must be cited in APA format. Your response should be a minimum of one (1) single-spaced page to a maximum of two (2) pages in length; refer to the "Assignment Format" page for specific format requirements. NOTE: Show your
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Algebra Archit Pal Singh Sachdeva 1. Consider the sequence of polynomials defined by P1 (x) = x2 − 2 and Pj (x) = P1 (Pj−1 (x)) for j = 2‚ 3‚ . . .. Show that for any positive integer n the roots of equation Pn (x) = x are all real and distinct. 2. Prove that every polynomial over integers has a nonzero polynomial multiple whose exponents are all divisible by 2012. 3. Let fn (x) denote the Fibonacci polynomial‚ which is defined by f1 = 1‚ f2 = x‚ fn = xfn−1 + fn−2 . Prove that the inequality 2 fn
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(I made this when I was a freshman. I’m now a Junior.) Why do we need to learn Algebra? What’s the point of learning Algebra in the first place? After all‚ all of the math leading up to Algebra that we learned growing up such as addition‚ multiplication‚ decimals‚ fractions‚ et cetera that seems to have a concrete meaning? This concept all deals with numbers‚ in some way or another‚ and because of this we can apply it to our daily lives like calculating‚ and in our chosen career. In short
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Algebra Algebra was invented by the Muslim mathematician Al-Khwarizmi in the book he wrote in 820. Algebra is the Arabic word (aljabr) for "equation"‚ and the word "algorithm" comes from the author’s name‚ Al-Khwarizmi. He is rightly known as "the father of Algebra The roots of algebra can be traced to the ancient Babylonians‚ who developed an advanced arithmetical system with which they were able to do calculations in analgorithmic fashion. The Babylonians developed formulas to calculate solutions
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LINEAR ALGEBRA Paul Dawkins Linear Algebra Table of Contents Preface............................................................................................................................................. ii Outline............................................................................................................................................ iii Systems of Equations and Matrices.............................................................................................
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Pamantasan ng Lungsod ng Maynila (University of the City of Manila) Intramuros‚ Manila ADVANCED ALGEBRA Submitted by: Madid‚Rohainee G. Submitted to: Dela Cruz‚ Roberto J. Submitted on: July 6‚ 2012 EQUATIONS: 1. x2+y-12=1 (x-1)2+y2=1 2. x2+2y2=4 x-y-1=0 3. 4x2+y2=1 x2+4y2=1 ------------------------------------------------- Blitzer‚ Robert. “Algebra For College Students 2nd Ed.” 1994 p. 736 EQUATIONS: 1. 4x2+9y2=36 2x2-9y2=18 2. x2+y2=1
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Tatenda Shumba Shane Johnson Per 4 Is algebra necessary? Algebra is important to learn. But it is not necessary. Life existed before algebra was invented and could still continue without it. There are many applications of Algebra in real life situations. It is important to learn the basics‚ especially when it comes to money and finance. Many adults use the basics but not anything beyond‚ like if you were to go around and ask what is the quadratic equation not most adults would get it
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Illegal street racers‚ or in the well known names‚ Mat Rempit‚ is a serious issue that knock our country right now. Known for their kamikaze skills on the road‚ causing chaos in society‚ their unmannered attitude and the current is murdering people. Statistics shows that this group causes too many crime and problems. With their enormous amount‚ they felt like the road is belongs to them and nobody have any rights to punish them. This is why almost everyday we heard and see their actions and news
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The Mat Rempit Who are the Mat Rempit?They are a group of youth who about in large groups on their motorcycles at late hours of the night. However‚ if this was all‚ they would be considered harmless. On the contrary‚ the Mat Rempit are not just a public nuisance but become a serious threat as they terrorise the public both on the road and at other public areas too‚ and they endanger their own lives. First and foremost‚ the Mat Rempit endanger the lives of the public‚ both on the road and at
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Various derivations of the word "algebra‚" which is of Arabian origin‚ have been given by different writers. The first mention of the word is to be found in the title of a work by Mahommed ben Musa al-Khwarizmi (Hovarezmi)‚ who flourished about the beginning of the 9th century. The full title is ilm al-jebr wa’l-muqabala‚ which contains the ideas of restitution and comparison‚ or opposition and comparison‚ or resolution and equation‚ jebr being derived from the verb jabara‚ to reunite‚ and muqabala
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