Find roots of polynomial $p (x) = 4 x^{3} - 12 x^{2} + 20 x + 16$

Answer

The roots of polynomial $p (x)$ are:
$x_{1} x_{2} x_{3} = - 0.569 = 1.7845 + 1.9612 i = 1.7845 - 1.9612 i$

Explanation

Polynomial $4 x^{3} - 12 x^{2} + 20 x + 16$ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.

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Find roots of polynomial p(x)=4x3−12x2+20x+16

The roots of polynomial p(x) are: x1​x2​x3​​=−0.569=1.7845+1.9612i=1.7845−1.9612i​

Find roots of polynomial $p (x) = 4 x^{3} - 12 x^{2} + 20 x + 16$

The roots of polynomial $p (x)$ are:
$x_{1} x_{2} x_{3} = - 0.569 = 1.7845 + 1.9612 i = 1.7845 - 1.9612 i$