2) For the following function, factor, then use case OR interval solutions (full marks only given to clear solutions showing multiple steps), to find when $$ f(x)0 $$ and THEN by graphing. Make a closing statement about your solution and preferance for methods. $$ f(x)=x^{4}-6 x^{3}+9 x^{2}+4 x-12 $$

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2) For the following function, factor, then use case OR interval solutions (full marks only given to clear solutions showing multiple steps), to find when $$ f(x)>0 $$ and THEN by graphing. Make a closing statement about your solution and preferance for methods. $$ f(x)=x^{4}-6 x^{3}+9 x^{2}+4 x-12 $$

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To find when $$ f(x) > 0 $$, factor the function $$ f(x) = x^4 - 6x^3 + 9x^2 + 4x - 12 $$ and use the factored form to determine the intervals where the function is positive. Then, graph the function to confirm the findings.

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