How to write this polynomial function in standard form with given zeros?

Question

x = -2,0,1

Answer 1

Polynomial function in standard form:

F( x ) = (x + 2)(x - 0)(x - 1)

         = (x + 2)(x)(x - 1)

         = (x^2 + 2x)(x - 1)

         = x^3 + 2x^2 - x^2 - 2x

         = x^3 + x^2 - 2x.