Find roots of polynomial $$ p(x) = 30x^5-10x^4+7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.6909\\[1 em]x_2 &= -0.1694+0.701i\\[1 em]x_3 &= -0.1694-0.701i\\[1 em]x_4 &= 0.6815+0.43i\\[1 em]x_5 &= 0.6815-0.43i \end{aligned} $$Explanation
Polynomial $ 30x^5-10x^4+7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.
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