This question is categorization and is easy to figure out with some close reading:
A fifth degree expression has a highest power of 5 so that takes out answers (2) and (3) leaving (1) and (4).
A leading coefficient of 7 is exactly what it sounds like — does answer choice (1) or (4) have a first term that starts with a 7?
A constant of 6 is 6 without any algebra or variables so find that to confirm your answer! :)

We can either recognize the factoring as DOTS Difference of Two Squares and see that the 16 would be 4 x 4 (not 8 x 8).  Then by checking the signs of the remaining answers (3) and (4) we would see that answer (4) would give us a trinomial and not the binomial given.

Another way to do this would be to use the TI-84:
Here is answer (1) compared to the original expression, um, not  a match!

Below is answer (2) compared to the original expression.  Also not a match!!

And now to check answer (3) and from the table voila!!  also we only see one graph which means the Y= are the same :)