# Call the matrix

Algebra Level pending

$\begin{cases} a^3 - a + 1 = 0 \\ b = a^2 + a + 2 \end{cases}$ Let $$a$$ and $$b$$ be complex numbers satisfying the system of equations above.
If $$f(x)$$ is the minimial polynomial of $$b,$$ what is $$f(1)?$$


Note: The minimal polynomial is the monic polynomial with integer coefficients of least degree such that $$f(b) = 0$$.

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