Although you have not stated a question, I think you are looking for a 5th degree polynomial with the roots given.
The piece of information you need is that for a polynomial with REAL coefficients, complex roots occur is conjugate pairs; there fore in addition to -i and -7+1, i and -7-i are roots.
The polynomial you want is simply the product of the 5 binomials (x+2)(x+i)(x-i)((x+7-i)(x+7+i). Remember to FOIL and that i2 = -1.
