Find roots of polynomial $$ p(x) = 2x^3-5x^3+3x-7 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1.5752\\[1 em]x_2 &= 0.7876+0.9279i\\[1 em]x_3 &= 0.7876-0.9279i \end{aligned} $$Explanation
Step 1:
Combine like terms:
$$ \color{blue}{2x^3} \color{blue}{-5x^3} +3x-7 = \color{blue}{-3x^3} +3x-7 $$Step 2:
Polynomial $ -3x^3+3x-7 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.
This page was created using
Polynomial Roots Calculator