What is the meaning of Polynomial? In real life where we use?

Polynomials are algebraic expressions that add constants and variables. Coefficients multiply the variables, which are raised to various powers by non-negative integer exponents. Engineers use polynomials to graph the curves of roller coasters Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses and many more. read less

Polynomial is an expression which contains a variable say x and all the different powers of x starting from x ^0 , x^2 , x^3 ,x^4 ,... and so on . so the actual expression looks like a0+ a1*x + a2*x^2 + a3*x^3+......... This goes on. Here the a0,a1,a2,a3,.... are called as coefficients and they are constant or simply numbers. Actually speaking polynomials are a function (which you will study later). for example Consider x+1 . this is a polynomial in variable x with degree 1( highest power of x is 1 i.e x^1 which is simply x itself).In co ordinate geometry chapter you must have studied straight lines of the form y=mx+c. look at mx+c . Here m is the coefficient of variable x and c is a constant. c is just like that a0 in the general expression of polynomial. Since the degree of x in mx+c is 1 . Such a polynomial is called linear polynomial.So all straight lines are nothing but polynomial. For example consider x^2+1. This is a polynomial of degree 2 (which is the highest power of variable x). Now u must have studied in physics one formula s=u*t+1/2* a*t^2. If initial velocity is 0 i.e u=0 and acceleration is constant (this formula is only valid for constant acceleration u must have studied that). thus the final expression looks like 1/2 *a*t^2. no replace t by x we see it as 1/2*a*x^2. Wow is not that a polynomial of degree 2 . So my friend understand that maths and physics go hand and in hand. everything you study in math, physics is just an application of maths. still u have any doubt you are most welcome to ask me. read less

Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms" A polynomial can have: constants (like 3, -20, or ½) variables (like x and y) exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed These are polynomials: 3x x - 2 -6y2 - (7/9)x 3xyz + 3xy2z - 0.1xz - 200y + 0.5 512v5+ 99w5 5 read less

The terms whose value do not changes with time are constant and whose value changes are variables Expressions with single terms are monomials ex. : X Expressions with two terms are binomials ex. : X+2 Expressions with more than two terms with variables may or may not having order of degree higher than 1 are polynomials X^2+2+c Now as to real life use we have ohm's law : V= IR now when we apply a constant value of register across a circuit having linear components then as value of applied voltage increases then value of current also increases It is example of equation Y = mx + c where y is voltage m is resistance and x is current and graph obtained is a st. line read less