Answer:
![p(x) = k[ x^2-4x-104]](https://tex.z-dn.net/?f=%20p%28x%29%20%3D%20k%5B%20x%5E2-4x-104%5D%20)
Step-by-step explanation:
Say if alpha and beta are the zeroes of the quadratic polynomial then the quadratic polynomial is given by ,
![\implies p(x) = k[ x^2 - [ (2+6\sqrt3)+(2-6\sqrt3)x] + \{ (2+6\sqrt3)(2-6\sqrt3)\} ] \\\\\implies p(x) = k[ x^2 - 4x + \{ (2)^2-(6\sqrt3)^2\}] \\\\\implies p(x) = k[ x^2 -4x \{ 4-108\} ] \\\\\implies\boxed{\boxed{ p(x) = k[ x^2-4x-104] }}](https://tex.z-dn.net/?f=%5Cimplies%20p%28x%29%20%3D%20k%5B%20x%5E2%20-%20%5B%20%282%2B6%5Csqrt3%29%2B%282-6%5Csqrt3%29x%5D%20%2B%20%5C%7B%20%282%2B6%5Csqrt3%29%282-6%5Csqrt3%29%5C%7D%20%5D%20%5C%5C%5C%5C%5Cimplies%20p%28x%29%20%3D%20k%5B%20x%5E2%20-%204x%20%2B%20%5C%7B%20%282%29%5E2-%286%5Csqrt3%29%5E2%5C%7D%5D%20%5C%5C%5C%5C%5Cimplies%20p%28x%29%20%3D%20k%5B%20x%5E2%20-4x%20%5C%7B%204-108%5C%7D%20%5D%20%5C%5C%5C%5C%5Cimplies%5Cboxed%7B%5Cboxed%7B%20p%28x%29%20%3D%20k%5B%20x%5E2-4x-104%5D%20%7D%7D)
This is the required answer !
The following are the factors of 14xy⁴:
2, 7, 14, x, y, y², y³, y⁴, xy, xy², xy³, xy⁴, 2x, 2y, 2y², 2y³, 2y⁴, 2xy, 2xy², 2xy³, 2xy⁴, 7x, 7y, 7y², 7y³, 7y⁴, 7xy, 7xy², 7xy³, 7xy⁴, 14x, 14y, 14y², 14y³, 14y⁴, 14xy, 14xy², 14xy³
I did not list the original monomial, as we know it is a factor of itself.
120 degrees is anwser because 180-60 is 120 you know the angles of triangle are 60 because it is an equateral triangle