Answer:
A)
Step-by-step explanation:
We are trying to find how long it will take Carlos to have $500 TOTAL, so we need to subtract what he already has ($150) to get the value we want to divide by $25 to figure out how many months it will take him to save up the rest. The given answer above is just a simplified way of writing , if that makes more sense.
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: