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6m^3-16m^2+15m-40/2m^2+5
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A. 3m - 8 B. 3m + 5 C. 2m - 6 D. 2m + 8
@jim_thompson5910
6m^3-16m^2+15m-40 (6m^3-16m^2)+(15m-40) 2m^2(3m-8)+(15m-40) I'll let you finish factoring
after you factor, you'll find cancellations occur and the answer will be left behind
would it be A?
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yep
Thanks
sure thing
$$\begin{align*}\frac{6m^3-16m^2+15m-40}{2m^2+5}&=\frac{2m^2(3m-8)+5(3m-8)}{2m^2+5}\\&=\frac{(3m-8)(2m^2+5)}{2m^2+5}\\&=3m-8\end{align*}$$
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