In Exercises 27 and 28, the equating-the-coefficients theorem is used as a tool to
Chapter 12, Problem 27(choose chapter or problem)
In Exercises 27 and 28, the equating-the-coefficients theorem is used as a tool to factor polynomials and thereby solve equations.Consider the polynomial equationf(x) x4 x3 x2 x 1 0.(a) Make use of the rational roots theorem in explainingwhy the equation has no rational roots.0. (b) Use a graphing utility to graph the function y f(x),and conclude that the given polynomial equation hasno real roots.(c) Use the equating-the-coefficients theorem to find afactorization of f(x) of the form(d) Solve the equation x4 x3 x2 x 1 0.2
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