Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. 5x4+11x3−9x2+8x−8____
Find Degree: Look at the polynomial 5x4+11x3−9x2+8x−8 and find the degree.The highest power of x is 4, so the degree is 4.
Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n complex roots, counting multiplicity.Since the degree is 4, there are 4 complex roots.