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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. \newlinex6+15x5+7x418x35x2+17x+6x^6 + 15x^5 + 7x^4 - 18x^3 - 5x^2 + 17x + 6\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. \newlinex6+15x5+7x418x35x2+17x+6x^6 + 15x^5 + 7x^4 - 18x^3 - 5x^2 + 17x + 6\newline____
  1. Identify highest power of x: Look at the polynomial: x6+15x5+7x418x35x2+17x+6x^6 + 15x^5 + 7x^4 - 18x^3 - 5x^2 + 17x + 6. Identify the highest power of xx, which is 66.
  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 has 66 complex roots.

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