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Determine the product of the binomial −x−5 and the trinomial −2x2+3x+1. To earn full credit, show your work using a method explained in the Orientation.

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[tex]( - x - 5)( - 2 {x}^{2} + 3x + 1) \\ = 2 {x}^{3} - 3 {x}^{2} - x + 10 {x}^{2} - 15x - 5 \\ = 2 {x}^{3} + 7 {x}^{2} - 16x - 5 \\ [/tex]

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