Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 4x3+13x2+13x+13____
Find Degree: Look at the polynomial 4x3+13x2+13x+13 and find the degree.The highest power of x is 3, so the degree is 3.
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.