Polynomial functions are used in our everyday lives in a few different ways, this includes art, architecture, construction, financial planning, and manufacturing. We can also calculate how long it will take one person to do a job alone when we know how long it takes a group to get it done as well. Farmers on crop farms work dawn to dusk through the growing season to produce the grains, fruits, and vegetables that feed the country. These equations help them to determine how long they need to work on a certain project.
One application of polynomials is that for any smooth curve we can approximate this curve by a graph of a polynomial function with sufficient degree. If you have real life data up to certain time, you can sketch the graph of the data and you want to predict the behavior of the data in the future. One way to solve this is to approximate the curve that you obtained from your data by a graph of a polynomial function hoping that this polynomial function can also approximate the data in the future. Polynomial equations are also used in creating buildings, landscapes and even roller coasters.
Lastly, and most importantly, using polynomials to pass high school and college. In every math class, using polynomials to graph and to find the possible rational zeroes is a big part in getting an A in the class. If you don’t know how to to this stuff then you can’t keep doing harder and harder math, like going from pre calculus to calculus.