10.1: Optional section- The rational root theorem
https://math.libretexts.org/Bookshelves/Precalculus/Precalculus_(Tradler_and_Carley)/10%3A_Roots_of_Polynomials/10.01%3A_Optional_section-_The_rational_root_theorem
WEBMay 2, 2022 · Find all real roots of \(f(x)=4x^4-23x^3-2x^2-23x-6\). Solution. If \(x=\dfrac p q\) is a rational root, then \(p\) is a factor of \(1\), that is \(p=\pm1\), and \(q\) is a factor of \(7\), that is \(q=\pm 1, \pm 7\). The candidates for rational roots are therefore \(x=\pm \dfrac 1 1, \pm \dfrac 1 7\).
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