Find roots of polynomial $$ p(x) = 700x^4-1400x^3+990x^2-290x+29 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2148\\[1 em]x_2 &= 0.4337\\[1 em]x_3 &= 0.5663\\[1 em]x_4 &= 0.7852 \end{aligned} $$Explanation
Polynomial $ 700x^4-1400x^3+990x^2-290x+29 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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