2. Polynomials
what are polynomials?
Polynomial is a mathematical expression of one or more algebraic terms
each of which consists of a constant multiplied by one or more variables
raised to a nonnegative integral power .
It can also be represented on graphs
Example: 2x2+2y + 5.
Application of polynomials in real life:
Are polynomials used in real life or does it just remains in the
mathematical books? Is one of the very basic questions asked.
Yes, polynomial really are very useful and applicable in real lives. They are
used in nearly every field of mathematics to express numbers as a result of
mathematical operations. The following examples can illustrate it:
3. PLOTTED GRAPHS OF POLYNOMIALS
1. CONSTRUCTION: Polynomials (advanced) are
used to describe curves of various types, people
use the paper graph plotting of polynomials in
the real world. For example, the most common
and the first result when one googles it is the roller coaster . It’s designers may
use polynomials to describe the curves in their rides and it even may help in
it’s construction.
Polynomials are often used for constructing bridges, the most common
that I can think is of suspension bridges.
2. VELOCITY/SPEED-TIME GRAPHS:
Sometimes, polynomials are also
used for transportation through
vehicles by plotting speed vs. time
graphs which helps the driver to
manage his speed according to the
time by which he has to reach.
4. 3.BUSINESS AND FINANCIAL USES:
Situations, like in the stock market have to
see how prices will vary over time. Business
people also use polynomials to model
markets, as in to see how raising the price of
a good will affect its sales.
The bigger and advanced companies have to
look after the prices of their shares and
stocks and keep both of them balanced for which polynomials are often used.
PHYSICS:
Throw a ball in the air. The arc it follows is a
parabola. And a parabola can be represented by a
quadratic equation. Here's an upside down parabola.
if you know the speed and angle of the ball when it
left your hand, you can compute the maximum
height, the time it takes to get to that height, and the
time it takes to hit the ground, and the speed at any
point.
This is how even military targeting works.
5. USES OF POLYNOMIALS IN OUR EVERYDAY LIVES
For the rest of us, they are less apparent but we still probably use them to predict how
changing one factor in our lives may affect another--without even realizing.
1. FINANCE: Our parents often use it to make monthly budgets to keep a balance on
savings.
Polynomials also help in loan calculations.
2. PHYSICS: I come across many such polynomials while studying science, especially
physics. Some examples are: E=mc2, F=ma, F=G*M*m/d2.
3. SHOPPING: This is where we use polynomials in our everyday lives the most.
Sometimes, for our own satisfaction we try to find the price of an item on the basis of
the information given by the seller. The most common time when I use it is when my
parents ask me the sum of the total money I spent on each thing. I’d say that almost
every kid has a problem with remembering the price of each and every item when you
buy in bulk. But we remember at least some of the prices by which we can easily
calculate the other prices, say maybe by subtracting it from the whole expense.
Even the shopkeeper sometimes uses polynomials to find the price or amount of
something when it is being taken out from a whole or in particular with a ratio, say
50% of the total good or something.