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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newline6x4+8x312x210x+206x^4 + 8x^3 - 12x^2 - 10x + 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. \newline6x4+8x312x210x+206x^4 + 8x^3 - 12x^2 - 10x + 20\newline____
  1. Identify Highest Power of x: Look at the highest power of xx in the polynomial 6x4+8x312x210x+206x^4 + 8x^3 - 12x^2 - 10x + 20. The highest power is 44, so the degree of the polynomial is 44.
  2. Apply Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree nn has exactly nn complex roots, counting multiplicity.\newlineSince our polynomial's degree is 44, it has 44 complex roots.

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