Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. x3+4x2+11____
Find Degree of Polynomial: Look at the polynomial x3+4x2+11 and find the degree.Degree of the polynomial is 3, since the highest power of x is 3.
Apply Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n complex roots, counting multiplicity.So, this polynomial will have 3 complex roots.