# Is it really correct?

Algebra Level 3

A polynomial $$g(x) = x^3 + ax^2 + bx + c$$ has $$3$$ distinct roots and each root of $$g(x) = 0$$ is also a root of $$f(x) = x^4 + x^3 + bx^2 + 100x + c$$.

Then find the value of $$f(1)$$.

×