Q:

Based on the Fundamental Theorem of Algebra, how many complex roots does each of the following equations have? Write your answer as a number in the space provided. For example, if there are twelve complex roots, type 12.x(x2 - 4)(x2 + 16) = 0 has complex roots(x 2 + 4)(x + 5)2 = 0 has complex rootsx6 - 4x5 - 24x2 + 10x - 3 = 0 has complex rootsx7 + 128 = 0 has complex roots(x3 + 9)(x2 - 4) = 0 has complex rootshow many complex roots does each have

Accepted Solution

A:
The first equation is of degree 5 so has a total of 5 roots.  It has 3 real  roots 
and 2 complex roots.
Second equation   2 complex roots.
Third has 4 complex roots
fourth has 7 complex roots
fifth has  3 complex roots