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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newline4x3+13x2+13x+134x^3 + 13x^2 + 13x + 13 \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. \newline4x3+13x2+13x+134x^3 + 13x^2 + 13x + 13 \newline____
  1. Find Degree: Look at the polynomial 4x3+13x2+13x+134x^3 + 13x^2 + 13x + 13 and find the degree.\newlineThe highest power of xx is 33, so the degree is 33.
  2. 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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