# 'Rooty' polynomials!(part 2)

Algebra Level 3

Let $$f(x) = x^3 + 2x^2 + 3x + 2$$ and $$g(x)$$ be a polynomial with integer coefficients. When $$f(x)$$ is divided by $$g(x)$$, it leaves quotient $$q(x)$$ and remainder $$r(x)$$, both of which have integer coefficients.

If $$q(x) = r(x) \neq 1$$ ,then find $$g(5)$$.

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