Given the function f(x) as follows:
[tex]f\mleft(x\mright)=x^3-6x^2+11x-6[/tex]The function has a root at x = 3
We will use the synthetic division to find the other roots:
We will divide the coefficients by 3
As follows:
So, the given function will be written as follows:
[tex]f(x)=(x-3)(x^2-3x+2)[/tex]Factor the term of the quadratic function
[tex]f(x)=(x-3)(x-2)(x-1)[/tex]So, there are three zeros x = 1, 2, 3
So, the answer will be option 4) x = 1, x = 2
