hi Tenacious
Okay lets take a look 
7x^2+10x-360
I am looking for 2 numbers that multiply to give 7*-360 = -7*360 I already know that one will be pos and the other neg because when they are multipied together the answer will be negative.
and the two numbers have to add to give +10 That is positive so the the bigger one will be positive.
They are only 10 apart so the numbers are quite close.
I did play around with this but it was just too horrible so I am going to take a different tact
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I am going to look at
7x^2+10x-360=0
I am just going to start by looking at the discriminant of the quadratic formula - that is the bit under the square root.
$$\triangle = 100+4*7*360 = 10180$$ This is not a perfect square so there are no rational roots.
So none of those answers are correct!