# SOLUTION: simplify using Synthetic Division, if possible t^4+10t^3+35t^2+50t+24/t^2+7t+12

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 Question 42162: simplify using Synthetic Division, if possible t^4+10t^3+35t^2+50t+24/t^2+7t+12Answer by fractalier(2101)   (Show Source): You can put this solution on YOUR website!You cannot use synthetic division directly, but if you factor the denominator into (t + 3)(t + 4), you can do it twice, once for each divisor... This interface makes doing synthetic division awkward, but it goes like this... -3_____1_____10_____35_____50_____24 _____________-3____-21____-42____-24 _____________________________________ _______1______7_____14______8______0 -4_____1______7_____14______8 _____________-4____-12_____-8 _____________________________ _______1______3______2 x^2 + 3x + 2 is the answer