Attached the solution and work.
If f2 + square root of 3 is a polynomial root, name another root of the polynomial, and explain how you
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I can't read that language but I'll guess it says write a second degree equation then solve for n when d=10.
Answer: n² - 3n - 20 = 0
That doesn't factor so there is no integer n solution.
That means there are no polygons with 10 diagonals.