Find roots of polynomial $$ p(x) = 6x^4+35x+36 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.1721+1.618i\\[1 em]x_2 &= 1.1721-1.618i\\[1 em]x_3 &= -1.1721+0.3598i\\[1 em]x_4 &= -1.1721-0.3598i \end{aligned} $$Explanation
Polynomial $ 6x^4+35x+36 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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