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Step-by-step explanation:
 
        
             
        
        
        
It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.
The simplest polynomial with these characteristics would be

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

 
        
             
        
        
        
All you do is subtract the two numbers
        
             
        
        
        
I believe the correct answer from the choices listed above is option D. The expression that would represent the number of earrings Mia has now would be n+3. It should be the sum of n earrings she originally had and the additional 3 earrings. Hope this answers the question.