Answer:
[tex]f(x)=(x-1)(x-1)(x-6)[/tex].
Step-by-step explanation:
The multiplicity of the root of a polynomial function refers to the number of times the root repeats itself.
If a polynomial function has a root of 1 with multiplicity 2, then [tex](x-1)^2[/tex] is a factor of the polynomial.
If a polynomial function has a root of 6 with multiplicity 1, then [tex](x-6)[/tex] is a factor of the polynomial.
The polynomial can be written as
[tex]f(x)=(x-1)^2(x-6)[/tex]
or
[tex]f(x)=(x-1)(x-1)(x-6)[/tex].
