Answer:
c
Step-by-step explanation:
Given the roots are x = - 1 + 4i and x = - 1 - 4i then the factors are
(x - (- 1 + 4i))(x - (- 1 - 4i))
= (x + 1- 4i )(x + 1 + 4i )
= (x + 1)² - 16i² → [ i² = - 1 ]
Expand and simplify
= x² + 2x + 1 + 16
Hence
x² + 2x + 17 = 0 → c
