Question

If A = {x | x is an odd integer), B = {x | x is an even integer), C = {2,3,4,5), and D = {3,4,5,6), list the element(s) of the following set.

Answer 1

Answer: 3,4,5,6 can be the complete list for the f(x).

Explanation:

Given a polynomial function f(x) which is a fourth degree polynomial .Therefore it must has 4 roots.

Let's check all the options for the possible list of roots of f(x)

1) 3,4,5,6 can be the complete list for the f(x) .

Option 2) and option 3) cannot be the complete list for the f(x) as it has one complex root and complex roots occur in pair.

Option 4) cannot be the complete list for f(x) as complex roots occur in pair and they conjugates but conjugate of 5+i is 5-i(which is not given) not -5+i