4. (8 pts) Let $f(x) = x^3 + 8x^2 + 12x$. (a) Write $f(x)$ in fully factored form as a product of linear factors. $f(x) = x(x+2)(x+6)$ (b) Find the zeros of $f(x)$.
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In this case, we can factor out an x from each term: f(x) = x(x^2 + 8x + 12) Show more…
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