Find roots of polynomial $$ p(x) = 3x^4-10x^3+24x^2-6x+5 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.0881+0.4726i\\[1 em]x_2 &= 0.0881-0.4726i\\[1 em]x_3 &= 1.5786+2.1728i\\[1 em]x_4 &= 1.5786-2.1728i \end{aligned} $$Explanation
Polynomial $ 3x^4-10x^3+24x^2-6x+5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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