Let x satisfy \(x^4 + x^3 + x^2 + x +1 = 0.\)Compute the value of \((5x + x^2)(5x^2 + x^4)(5x^3 + x^6)(5x^4 + x^8).\)
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You can solve for x to get x = 0.30902 + 0.95106i. Then (5x + x^2)(5x^2 + x^4)(5x^3 + x^6)(5x^4 + x^8) = 620.
+152 
