What goes on the green box?

5

Step-by-step explanation:

You add the 4 and 3, and then subtract the 2 because it is in the denominator.

If it was (8^4)^3 you would multiply it and get 12, but that didn't happen.

If the denominator was 8^-2, you would add it instead of subtracting. When negative, it becomes positive in the numerator so it is added. Since it is positive it becomes negative, which means subtracting.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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