Question

Find the function from the given zeros. -1, 2, 1-i

Answer 1

if a zero is given as "n"
the equation equivalent is
(x-n)=0

Answer 2

if we have 3 zeros given as "a" "b" "c"
then the equation equivalent is
(x-a)(x-b)(x-c)=0

Answer 3

\[x = 1-i\]
\[x-1 = -i\]
\[(x-1)^2 = (-i)^2 = -1\]
\[x^2 -2x+1 = -1\]
\[x^2 -2x +2 = 0\]
\[\rightarrow f(x) = (x+1)(x-2)(x^2 -2x+2)\]