Finding Inflection Points for y=(^3 +6x^2 +15x +19)e^-x

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Homework Statement


find the inflection points of the curve y=(^3 +6x^2 +15x +19)e^-x correct to five decimal places


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The Attempt at a Solution


i know how to find the inflection points. you graph the derivative and find where the concavity shifts. but the e^-x really throws me off
 
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Steps:
1)take 2 derivatives
2)set result equal to zero
3)solutions are inflection points