In Exercises 55 58, write the polynomial (a) as the product of factors that are
Chapter 3, Problem 58(choose chapter or problem)
Factoring a Polynomial
In Exercises 55–58, write the polynomial (a) as the product of factors that are irreducible over the rationals, (b) as the product of linear and quadratic factors that are irreducible over the reals, and (c) in completely factored form.
\(f(x)=x^{4}-3 x^{3}-x^{2}-12 x-20\)
(Hint: One factor is \(x^{2}+4\).)
Text Transcription:
f(x)=x^{4}-3 x^{3}-x^{2}-12 x-20
x^{2}+4
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