Which of the following is a polynomial with roots -√(3), √(3), and 2?

x^3 – 2x^2 – 3x + 6

x^3 + 2x^2 – 3x – 6

x^3 – 3x^2 – 5x + 15

x^3 + 3x^2 – 5x – 15

Question

Which of the following is a polynomial with roots  -√(3), √(3), and 2?

x^3 – 2x^2 – 3x + 6

x^3 + 2x^2 – 3x – 6

x^3 – 3x^2 – 5x + 15

x^3 + 3x^2 – 5x – 15

anonymous · Answer

Expand y = (x - x1)(x - x2)(x - x3) where x1, x2, and x3 are your roots.  Make this substitution and multiply out.

anonymous · Answer

can u show me how to do that?

anonymous · Answer

y = (x - x1)(x - x2)(x - x3) = [x + sqrt(3)][x - sqrt(3)](x - 2) and then expand that.