Question

Write a polynomial function in standard form with the given zeros. x= 1,1,2

Answer 1

First we write factor form than we transform it into polynomial:
(x-1)(x-1)(x-2) = (x^2-2x+1)(x-2)

we multiplied first 2 factors. now we only need to multiply remaining factors and than to sum like terms

x^3 -2x^2+x-2x^2+4x-2 = x^3 - 4x^2 + 5x -2