Question

formation of polynomials by using daily life situations. degree zeros of a polynomial ​

Answer 1

Answer:

A2A. The most commonly used polynomial equation is a line. It is used all the time, as I'm sure you know.

So let's go on to quadratic polynomials. These are in the form y=ax2+bx+cy=ax2+bx+c, where a, b, and c are real constants.

You'll be surprised by the number of applications that use quadratic equations.

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. Ignore the parts below the x-axis. If you were standing at the far left red dot, and threw the ball up at an angle, the maximum height would be achieved at the blue dot, and it would hit the ground at the far right dot.



With a little help from physics, 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. You can imagine how much the military uses this in their targeting systems.

Here's another parabola:



Notice the red dot labeled the focus. What is the focus of a parabola? One way to define a parabola is that it is the set of points in a plane that are equidistant from a given line, called the directrix, and a given point called the focus.

For instance, notice that the origin (0, 0) is 2 units from the directrix and 2 units from the focus. If you picked any point on the parabola, and drew the perpendicular down to the directrix, and then drew another line to the focus, they would be the same length.

Notice the equation for this parabola is y=18x2y=18x2.

Here's something very cool about a parabola and its focus. If you take a 3 dimension parabola (a paraboloid), hold it in your hand, and point it at a bunch of Dallas Cowboys across the field, the sound waves will bounce off the paraboloid and go to the focus. (Now you know where the name came from). If you put a microphone at the focus, you'll be able to hear the Cowboys so well, that you'll have to turn it off because there are children around. This is the only shape that has this property.

Furthermore, parabolic mirrors are used on telescopes for the same reason. It is pointed at an area of the sky. Instead of a microphone at the focus, a form of a digital photographic plate is put there. All the light that hits the parabola gets sent to the focus, so you can see stars and galaxies you can't see with your eyes.

Modern telescopes even will have the telescope track an area of the sky, which moves to adjust for the Earth's rotation. So the photographic plate not only picks up lots of light because of the size of the mirror, but also because it stays focused on an area of the sky for hours.

Let's here it for parabolas.

Here's an interesting bit of information. If you and a friend hold on to the ends of a rope, it looks like the shape of the rope is a parabola. Alas, it is not a parabola, nor is it any polynomial at all.



This hanging chain is pretty close to the shape of a parabola. But its shape is called a catenary. Its formula is rather intimidating:

y=a(exa+e−xa)2y=a(exa+e−xa)2

Oh well. Not every figure can be a parabola. But If I ever get a chance to create my own universe, every figure will be a parabola.

Answer 2

Formation of polynomials by using daily life situations. degree zeros of a polynomial ​

• Polynomials are used frequently by people. Polynomials are used by people to simulate a variety of structures and things, as well as in industries and construction. Even marketing, finance, stocks, and other fields employ them.
• People use polynomials to graph curves in the real world because they may be utilised to describe a variety of curve types. Polynomials, for instance, may be used by roller coaster designers to define the curves in their rides. In economics, polynomial function combinations may be used to do cost evaluations, for instance.
• We have supermarkets. Probably several times when shopping, you have employed a polynomial in your head. You might wish to know the costs of three kilogrammes of flour, two dozen bananas, and three bread packs, for instance. Make a simple polynomial before you check the prices, using the letters "f" for the cost of flour, "e" for the cost of a dozen bananas, and "m" for the cost of one package of bread. The formula is 3f + 2e + 3m. Next, you perform the computations in accordance with the MRP.
• When creating a roller coaster, an engineer would use polynomials to simulate the curves, whereas a civil engineer would use polynomials to create roads, buildings, and other structures.
• Real estate agents control the budget.

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