Find roots of polynomial $$ p(x) = -4x^4-14x^3+22x^2-6x+17 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3697\\[1 em]x_2 &= -4.7608\\[1 em]x_3 &= -0.0545+0.8055i\\[1 em]x_4 &= -0.0545-0.8055i \end{aligned} $$Explanation
Polynomial $ -4x^4-14x^3+22x^2-6x+17 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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