Question

What is the equation for the family of quartic functions in standard form with zeros ±2 and 1 ± √3?

Answer 1

x^4 -2x^3 - 6x^2 + 8x + 8
I multiplied the factors to get the equation
(x+2)(x-2)(x-(1+√3))(x-(1-√3))
The factors are the opposite sign of the zeroes