Find roots of polynomial $p (x) = 2 x^{6} - 59 x^{5} + 664 x^{4} - 3752 x^{3} + 11063 x^{2} - 15374 x + 17469$

Answer

The roots of polynomial $p (x)$ are:
$x_{1} x_{2} x_{3} x_{4} x_{5} x_{6} = 7.3412 = 11.9748 = 0.5765 + 1.6081 i = 0.5765 - 1.6081 i = 4.5155 + 3.6953 i = 4.5155 - 3.6953 i$

Explanation

Polynomial $2 x^{6} - 59 x^{5} + 664 x^{4} - 3752 x^{3} + 11063 x^{2} - 15374 x + 17469$ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.

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Find roots of polynomial p(x)=2x6−59x5+664x4−3752x3+11063x2−15374x+17469

The roots of polynomial p(x) are: x1​x2​x3​x4​x5​x6​​=7.3412=11.9748=0.5765+1.6081i=0.5765−1.6081i=4.5155+3.6953i=4.5155−3.6953i​

Find roots of polynomial $p (x) = 2 x^{6} - 59 x^{5} + 664 x^{4} - 3752 x^{3} + 11063 x^{2} - 15374 x + 17469$

The roots of polynomial $p (x)$ are:
$x_{1} x_{2} x_{3} x_{4} x_{5} x_{6} = 7.3412 = 11.9748 = 0.5765 + 1.6081 i = 0.5765 - 1.6081 i = 4.5155 + 3.6953 i = 4.5155 - 3.6953 i$