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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newline5x4+11x39x2+8x85x^4 + 11x^3 - 9x^2 + 8x - 8\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. \newline5x4+11x39x2+8x85x^4 + 11x^3 - 9x^2 + 8x - 8\newline____
  1. Find Degree: Look at the polynomial 5x4+11x39x2+8x85x^4 + 11x^3 - 9x^2 + 8x - 8 and find the degree.\newlineThe highest power of xx is 44, so the degree is 44.
  2. Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree nn has exactly nn complex roots, counting multiplicity.\newlineSince the degree is 44, there are 44 complex roots.

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