Respuesta :
Answer:
[tex]f(x)=x^3-8x^2+13x-6[/tex]
Step-by-step explanation:
We are given information about polynomial as
a root of 1 with multiplicity 2
so, one of factor is (x-1)^2
a root of 6 with multiplicity 1
so, another factor is (x-6)^2
so, we can write polynomial as
[tex]f(x)=(x-1)^2(x-6)[/tex]
now, we can simplify it
[tex]f(x)=(x-1)(x-1)(x-6)[/tex]
[tex]f(x)=(x^2-2x+1)(x-6)[/tex]
So, we get polynomial as
[tex]f(x)=x^3-8x^2+13x-6[/tex]
