Polynomials+2

<span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(162, 22, 22);"><span style="color: rgb(238, 128, 43);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 130%; color: rgb(255, 168, 0);">**Sagal**, <span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="font-size: 140%; color: rgb(255, 168, 0);">**Spencer,Cam.R,Humza** <span style="color: rgb(98, 239, 113);">** POLYNOMIALS ! ** <span style="color: rgb(33, 29, 94);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">Polynomials are an expression constructed by constants and variables, using the operations Addition,Subtraction,Multiplication and Division. They were created by a German man named Leonhard Euler, who was considered one of the greatest mathematicians of the 18th century. He also was important in other math concepts such as calculus and graph theory. <span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="color: rgb(238, 128, 43);"><span style="color: rgb(33, 29, 94);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">Polynomials are one of the most important concepts in algebra and throughout mathematics and science. Without polynomials there would be no algebra because they pretty much make up all of algebra.
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<span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="color: rgb(238, 128, 43);"><span style="color: rgb(18, 45, 109);"><span style="color: rgb(14, 11, 11);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="color: rgb(251, 163, 40);"><span style="color: rgb(33, 29, 94);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">They are used to form polynomial equations, which are created by variables ( letters ) and their coefficients (constants that are being multiplied or divided by variables) being seperated by other terms using addition or subtraction). To isolate a variable you must do the opposite equations                          <span style="background-color: rgb(0, 80, 255);"><span style="color: rgb(42, 82, 146);"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(15, 31, 179);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(0, 80, 255);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="color: rgb(238, 128, 43);"><span style="color: rgb(18, 45, 109);"><span style="color: rgb(14, 11, 11);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="color: rgb(251, 163, 40);"><span style="color: rgb(33, 29, 94);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">of the coefficients and other variable                           <span style="background-color: rgb(0, 80, 255);"><span style="color: rgb(42, 82, 146);"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(15, 31, 179);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(0, 80, 255);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="color: rgb(238, 128, 43);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);"><span style="color: rgb(33, 29, 94);"><span style="color: rgb(18, 45, 109);"><span style="color: rgb(14, 11, 11);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="color: rgb(31, 34, 86);">to both sides.

<span style="color: rgb(249, 158, 67);">Although often you can't usually find the value of the variables you can simplify it to a very small equation by collecting like terms. This means that if there are 2 or more terms that have the same variables or don't have variables you can add them together to simplify the equation. Polynomials can come in 3 forms that are monomials, one term, binomials, a pair of terms, and trinomials, a set of 3 terms.

When a term's variables have exponent you add the exponent values together and this gives you the degree, although this is not always the case, if there is more than one term then you simply take the term with the largest degree. An example of a polynomial would be 2x-11y+19+x-4=14z-7 (solve for y). To solve this equation you would start by collecting like terms which would make it 3x-11y+15=14z-7 because you add the identical terms and x is actually 1x. Next you will want to get rid of 15 to do this you must subtract it from both sides which leaves you with 3x- 11y=14z+8. Then you want to isolate -11y by subtracting 3x from both sides leaving you with -11y=14z+8-3x. Finally you divide both sides by -11 which will isolate y leaving you with y=(14z+8-3x)/-11. <span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"> <span style="font-family: Tahoma,Geneva,sans-serif;"><span style="font-size: 80%; color: rgb(150, 225, 86);"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">Leonhard Euler <span style="background-color: rgb(0, 80, 255);"><span style="color: rgb(42, 82, 146);"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(15, 31, 179);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(0, 80, 255);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);"><span style="font-size: 80%; color: rgb(150, 225, 86);"> __Distributive property__ Distributive property is when you multiply everything that you have in brackets by the number on the outside of the bracket, on the left lets say you have; 2(2y+7z+9n) You would multiply every number in the brackets, by two. so the answer would be 4y+7z+18n. let's do another one, harder. 8(7z+6n+5y) So, you multiply everything by what? That's right,Eight ! So the final answer would be..! 56z+48n+40y. ;]                        <span style="background-color: rgb(0, 80, 255);"><span style="color: rgb(42, 82, 146);"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(15, 31, 179);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(0, 80, 255);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="color: rgb(0, 0, 0);"><span style="color: rgb(78, 241, 34);">                  <span style="color: rgb(78, 241, 34);">       <span style="background-color: rgb(0, 80, 255);"><span style="color: rgb(42, 82, 146);"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(15, 31, 179);"><span style="color: rgb(36, 61, 168);"><span style="color: rgb(53, 87, 248);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="background-color: rgb(0, 80, 255);"><span style="display: block; font-size: 110%; color: rgb(209, 10, 92); font-family: Impact,Charcoal,sans-serif; text-align: right;"><span style="color: rgb(37, 17, 232);"><span style="color: rgb(42, 82, 146);"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);"><span style="font-family: Tahoma,Geneva,sans-serif;"><span style="background-color: rgb(254, 251, 251);"><span style="color: rgb(81, 31, 31);"><span style="color: rgb(65, 22, 22);"> <span style="color: rgb(106, 47, 47);">

<span style="color: rgb(106, 47, 47);"><span style="color: rgb(65, 22, 22);">     <span style="font-family: Tahoma,Geneva,sans-serif;">Bibliography http://en.wikipedia.org/wiki/Leonhard_Euler http://en.wikipedia.org/wiki/Polynomial [|http://www.purplemath.com/modules/polydefs.] [|htmhttp://math.about.com/library/blpoly.htm]<span style="color: rgb(106, 47, 47);">