Max’s age is twice George’s age minus 5. The sum of Manuel’s age and Gupta’s age is 31. Let g represent George’s age. The equati
on 2g - 5 + g = 31 represents this situation. Complete this statement: Max is ____ years old and George is ____ years old.
2 answers:
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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: