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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex512x420x^5 - 12x^4 - 20\newline____

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Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex512x420x^5 - 12x^4 - 20\newline____
  1. Identify Degree: Identify the degree of the polynomial.\newlineThe polynomial is x512x420x^5 - 12x^4 - 20. The highest power of xx is 55.\newlineDegree of the polynomial: 55
  2. Apply Theorem: Apply the Fundamental Theorem of Algebra. The Fundamental Theorem of Algebra states that a polynomial of degree nn has exactly nn roots in the complex number system, counting multiplicity. Number of complex roots: 55

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