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 nroots? Why must...

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  1. How doesthe linear factorization of f(x), thatis,

f(x)=an(x?c1)(x?c2)?(x?cn),

show that apolynomial equation of degree n hasnroots?

Why must everypolynomial equation with real coefficients of degree 3 have atleast one real root?

  1. If you aregiven the equation of a rational function, explain how to find thevertical asymptotes, if there is one, of the function'sgraph.

If you are given the equationof a rational function, explain how to find the horizontalasymptote, if any, of the function's graph.

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