book Maths Puzzle Numerical Ability

graph the function and state the domain and range.

26. g(x)=x^2-2x-15

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My teacher has our advanced algebra class taking college algebra tests just for the heck of it.
The problem asks to find a polynomial equation of degree 4 with integral coefficients that has solutions 1+i, 3, 0. My question says to simplify the radicals.

4 square root of 3+2 square root of 12

Could you help me? thanks!