Directions: Answer each question. The table below shows the available sizes and prices of Henry’s favorite movie popcorn. Use th
1 answer:
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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:
Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality.
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.