Polynomial of lowest degree with lowest possible integer coefficients, and with zeros 7-9i, and 0 (multiplicity 4)

Answer 1

(x-7+9i)x^4

= x^5 -(7+9i)x^4

Answer 2

x^4[(x-7)+9i ][ (x-7)-9i]

x^4 [ (x-7)^2 + 81]

x^4 (x^2 -14x + 49+81]

x^4(x^2 - 14x + 130)

x^6 - 14x^5 + 130