ANSWER
[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]
EXPLANATION
If the polynomial function has zeros at 0,1 and 2
Then the polynomial can be written in factored form as:
F(x)=x(x-1)(x-2)
We expand to get,
[tex]f(x) =x({x}^{2} - 3x + 2)[/tex]
Expand further to obtain:
[tex]f(x) ={x}^{3} - 3 {x}^{2} + 2x[/tex]
The polynomial in descending powers of x is said to be in standard form .
The last choice is correct.
