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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newline4x5+3x42x310x218x104x^5 + 3x^4 - 2x^3 - 10x^2 - 18x - 10\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. \newline4x5+3x42x310x218x104x^5 + 3x^4 - 2x^3 - 10x^2 - 18x - 10\newline____
  1. Identify highest power: Look at the polynomial 4x5+3x42x310x218x104x^5 + 3x^4 - 2x^3 - 10x^2 - 18x - 10 and find the highest power of xx.\newlineThe highest power of xx is 55.\newlineDegree of the polynomial: 55
  2. Determine degree: Use the Fundamental Theorem of Algebra which states that a polynomial of degree nn has exactly nn roots in the complex number system.\newlineSo, the polynomial has 55 complex roots.

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