Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 8x^3 - 5x^2 - 9 ____

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Fundamental Theorem of Algebra: The Fundamental Theorem of Algebra states that every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots in the complex number system. To apply this theorem, we first need to determine the degree of the given polynomial. The given polynomial is 8x^3 - 5x^2 - 9. The highest power of x in the polynomial is 3, which means the degree of the polynomial is 3.Determining the Degree: According to the Fundamental Theorem of Algebra, a polynomial of degree n will have exactly n roots in the complex number system. Since we have established that the degree of our polynomial is 3, it follows that there will be exactly 3 complex roots for the polynomial 8x^3 - 5x^2 - 9. These roots could be real or non-real complex numbers, and some of them could be repeated.

Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. $\newline$ $8x^3 - 5x^2 - 9$ $\newline$ ______

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Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. $\newline$ $8x^3 - 5x^2 - 9$ $\newline$ ______