Math  /  Algebra

QuestionThe function f(x)=5x37x+2f(x)=5 x^{3}-7 x+2 has at least one rational root. Use the rational root theorem to find that root, then proceed to find all complex roots. (Note: roots may be integ rational, irrational, and/or complex.)
Answer

Studdy Solution
The roots of the function f(x)f(x) are x=1x = 1, x=5+6510x = \frac{-5 + \sqrt{65}}{10}, and x=56510x = \frac{-5 - \sqrt{65}}{10}.

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