A polynomial is an important concept of mathematics, every student of maths has to learn in detail about polynomials. The concepts of polynomials can be applied in several fields like physics, chemistry, economics, etc. The polynomial expression or function is used in calculus, numerical analysis, algebraic varieties, polynomial rings, algebra, and algebraic geometry. With all its importance, it sometimes poses problems for the students both at the basic and the advanced level. The assignments that are assigned to the students in this particular subject can be tough on the students because of the nature of the subject. To ace any mathematical concept or topic like factoring large polynomials the student has to be impeccable at calculations. Students still being in the learning phase and not yet having mastered the subject and sometimes due to sheer carelessness make mistakes that cost them precious grades in the final assessment. There are many other subjects that a student has to study and some of them are as complex as the polynomial problems. In such cases, the students find it extremely difficult to balance between all the tasks.
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Some basic concepts of polynomials are :-
A mathematical expression which comprises of coefficients and variables is referred to as polynomial. The only operations associated with polynomials include addition, multiplication, non-negative integer exponents and subtraction. The application of polynomials includes:
The students during the basic level face a lot of difficulty with the concept of polynomials. They fail to grasp the basic function of the concept and this tends to lead to further problems when they reach the higher courses. The calculations and omission of mathematical signs and mistakes of that create problems for the students. Lack of knowledge of the polynomial concepts also leads to difficulty in several other subjects and especially in calculus; where the application of this concept is significant. Since the subject concerns algebra, the students have to be more careful while dealing especially with the polynomials and their graphs. That is what EssayCorp is here for, no matter what all your problems regarding the Polynomial assignments are, we get you all the necessary guidance.
Other than the basic form, some other types of polynomials which are studied in mathematics are discussed below.
Our experts have knowledge of basic and all complex forms of polynomials which are studied in mathematics. Our writers have worked for many years in the field of mathematics, so they have a precise knowledge of all the methods. They even use the method of explaining through examples of polynomials.
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Three particles A, B and C lie in that order in a straight smooth groove so that they can only move along the x-axis. Both A and C are of unit mass whilst B is of mass M. Particle B is joined to the other two by identical linear springs of unit stiffness.
(a) If the three particles are displaced from equilibrium by distances x1, x2 and x3 show that the equations of motion are d2x1/dt2 = x2 - x1, M d2x2/dt2 = x3 - 2x2 + x1, d2x3/dt2 = x2 - x3.
(b) Prove that the frequencies of the three normal modes are given by ? = 0, 1 and ?2 = 1 + (2/M). [5 marks]
(c) Describe the motions of the particles corresponding to the normal modes.[4 marks]