D.7 How does the linear factorization of f(x), that is,f(x)=an (x−c1)(x−c2)⋯(x−cn), show that a polynomial equation of degree n has n roots? Why must every polynomial equation with real coefficients...

D.7 How does the linear factorization of f(x), that is, f(x)=an (x−c1)(x−c2)⋯(x−cn), show that a polynomial equation of degree n has n roots? Why must every polynomial equation with real coefficients of degree 3 have at least one real root? If you are given the equation of a rational function, explain how to find the vertical asymptotes, if there is one, of the function's graph. If you are given the equation of a rational function, explain how to find the horizontal asymptote, if any, of the function's graph.