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Question

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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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EvanWei123 Dec 10, 2020

Guest · Answer 1 · 2020-12-11T05:16:12

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.