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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex3+4x2+11x^3 + 4x^2 + 11\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. \newlinex3+4x2+11x^3 + 4x^2 + 11\newline____
  1. Find Degree of Polynomial: Look at the polynomial x3+4x2+11x^3 + 4x^2 + 11 and find the degree.\newlineDegree of the polynomial is 33, since the highest power of xx is 33.
  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.\newlineSo, this polynomial will have 33 complex roots.

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