Polynomial comes from the Greek poly, which means many. While the word originated from Greece, it was first introduced in Latin by Franciscus Vieta. In this investigation, it involves the method of shadow functions and their generators, which helps identify the real and imaginary components of complex zeros from key points along the x-axis.

While real zeros of polynomial functions may be easily read off the graph of the polynomial, the same is not true for complex zeros. In this task, you will investigate the method of shadow functions and their generators, which helps identify the real and imaginary components of complex zeros from key points along the x-axis.

Part A (Quadratic Polynomials)

In mathematics, the word polynomial is an expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication. A quadratic polynomial is a polynomial of degree two. This means that the variable(s) in the expression can be raised to a maximum power of two (x^2 where x∈Z). A general quadratic polynomial is usually given in a form of ax^2+bx+c where a≠0

When dealing with quadratic polynomials, a shadow function is a function that is reflected on the horizontal plane that is tangent to the vertex of the original function. Therefore, the horizontal plane acts as a mirror. For example, consider a quadratic function, f1(x)=2x^2-8x+10 and a horizontal function f2(x)=2 which intersects at f1(x)’s vertex, when both functions are graphed using technology (GDC), it will look like this:

...Santoro, A. (2004). “Manipulatives: A Hands-On Approach to Math.” Principal, 84 (2), (28-28).
This article speaks about the importance and significance of the use of manipulatives in the classroom, specifically in the subject of math. Manipulatives have proven to be valuable when used in a math class and are even more valuable to the children when they are young, and are learning new math concepts. Students are able to physically...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which...

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The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...MATH 122 SYLLABUS
Faculty Information: Name: E-mail: Office: Office Hours:
Section 08 B-1-122 MAK MW 6:00 – 7:15 PM Fall 2013
Corrina Campau campauc@gvsu.edu A-1-132 MAK Phone: (616)331-2052 Tuesday, Thursday 3:45 – 4:30 PM Monday, Wednesday 3:30 - 4:30 PM Monday, Wednesday 7:15 – 8:00 PM by appointment only
Prerequisite:
MTH 110 (a grade of C or better is recommended) or assignment through GVSU Math Placement. You may wish to take the MTH 122...

...On this page we hope to clear up problems you might have with polynomials and factoring. All the different methods of factoring and different things such as the difference of cubes are covered. Click any of the links below or scroll down to start gaining a better understanding of polynomials and factoring.
Combining like terms
Multiplication of polynomials
Factoring
Factoring by grouping
Sums and differences of cubes
Quiz on Polynomials and Factoring
When terms of a...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to...