Question

write a polynomial equation in standard form that has the solutions 3 and -2. can you explain how I do this?

Answer 1

(x-3)(x+2)
multiply out into a polynomial

Answer 2

Since the solutions have to be 3 and -2, the equations would become x-3 and x+2. then you just multiply those two expressions together. (x-3)(x+2) = x^2 +2x - 3x -6. then you combine like terms. x^2-x-6