Find roots of polynomial $$ p(x) = 50-3x^3+5x^2 $$
Answer
The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 3.2473\\[1 em]x_2 &= -0.7903+2.1232i\\[1 em]x_3 &= -0.7903-2.1232i \end{aligned} $$Explanation
Step 1:
Write polynomial in descending order
$$ \begin{aligned} 50-3x^3+5x^2 & = 0\\[1 em] -3x^3+5x^2+50 & = 0 \end{aligned} $$Step 2:
Polynomial $ -3x^3+5x^2+50 $ 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