Find roots of polynomial $$ p(x) = 4c^3+5c^2-18c-3-11 $$
Answer
The roots of polynomial $ p(c) $ are:
$$ \begin{aligned}c_1 &= -0.7169\\[1 em]c_2 &= 1.959\\[1 em]c_3 &= -2.4921 \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ 4c^3+5c^2-18c \color{blue}{-3} \color{blue}{-11} = 4c^3+5c^2-18c \color{blue}{-14} $$Step 2:
Polynomial $ 4c^3+5c^2-18c-14 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
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