Find roots of polynomial $$ p(x) = -2200x^3-350x^4+3200 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.075\\[1 em]x_2 &= -6.3219\\[1 em]x_3 &= -0.5194+1.0371i\\[1 em]x_4 &= -0.5194-1.0371i \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} -2200x^3-350x^4+3200 & = 0\\[1 em] -350x^4-2200x^3+3200 & = 0 \end{aligned} $$Step 2:
Polynomial $ -350x^4-2200x^3+3200 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.
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