Daily Math Challenge - November 11, 2022

Find the sum of the roots of the polynomial:

${\mathit{x}}^{\mathbf{5}}\mathbf{-}{\mathit{x}}^{\mathbf{4}}\mathbf{-}\mathbf{6}{\mathit{x}}^{\mathbf{3}}\mathbf{+}\mathbf{6}{\mathit{x}}^{\mathbf{2}}\mathbf{+}\mathbf{8}\mathit{x}\mathbf{-}\mathbf{8}\mathbf{=}\mathbf{0}$

Problem submitted by Pat Costello, Eastern Kentucky University

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