For certain real numbers a, b, and c, the polynomial

g(x)=x^{3}+a x^{2}+x+10

has three distinct roots, and each root of g(x) is also a root of the polynomial

f(x)=x^{4}+x^{3}+b x^{2}+100 x+c

What is f(1) ?

**Answer Choices**

A. -9009

B. -8008

C. -7007

D. -6006

E. -5005