Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. which statement describes the number and nature of all roots for this function? f(x) has two real roots and one imaginary root. f(x) has three real roots. f(x) has five real roots. f(x) has three real roots and two imaginary roots.

Because the polynomial is of the fifth degree, we expect five roots.  If 4 + i is one of those roots, there must be a corresponding 4 - i.  We can conclude that there are two complex roots and three real roots.   The answer choice that involves the word "imaginary" cannot be correct; rather, we must use the word "complex" root to describe roots that have both real and imaginary parts.  "f(x) has three real roots" is the correct answer here.

its 50 miles away from the starting point