Hello. Assume that I have two polynomials of degree 2, i.e., Quadratic Equations. 1. Assume that the Quadratic Equation is: x2 + 7x + 12 = 0 The roots of the Quadratic Equation is -3 and -4. 2. Assume that there is another Quadratic Equation: x2 + 8x + 12 = 0 The roots of the Quadratic Equation is -6 and -2. Then the use of the roots of the polynomial is that: When I am trying to find where two modeling equations intersect, where information overlaps, this is equivalent to finding the zeroes to know the difference of the models. The modeling equations I chose to consider is delineated as 1 and 2 above. What I think is, I find roots of two or more polynomials to know the differences between them or to do something else, like, initiating another curve from any of the roots. Am I right? I want to know the applications of a root of a polynomial. Do you have an example which illustrates use of a root of a polynomial? Thank you.