Answer:
[tex](x-(7-i))[/tex]
Step-by-step explanation:
For a polynomial with roots [tex]a[/tex] and [tex]b[/tex], the polynomial [tex]f(x)[/tex] can be written in factored form [tex](x-a)(x-b)[/tex]. That way, when you plug in any of the roots, [tex]f(x)[/tex] returns zero.
Since the polynomial has at least two roots-9 and 7-i, two of its factors must then be:
[tex](x-(-9)\implies (x+9)\\(x-(7-i))\impli[/tex]
Therefore, the desired answer is [tex]\boxed{(x-(7-i))}[/tex]
