How does the linear factorization of f(x), that is, f(x)=an (x−c1)(x−c2)⋯(x−cn), show that a polynomial equation...

How does the linear factorization of f(x), that is,

f(x)=a_n (x−c₁)(x−c₂)⋯(x−c_n),

show that a polynomial equation of degree n has nroots?

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.

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Expert Solution

Colby Messinger answered 1 year ago

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