Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. x5−12x4−20____
Identify Degree: Identify the degree of the polynomial.The polynomial is x5−12x4−20. The highest power of x is 5.Degree of the polynomial: 5
Apply Theorem: Apply the Fundamental Theorem of Algebra. The Fundamental Theorem of Algebra states that a polynomial of degree n has exactly n roots in the complex number system, counting multiplicity. Number of complex roots: 5