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23 November, 20:07

The volume v in cubic feet of a shipping box is modeled by the polynomial function V (x) = x^3-2x^2-19x+20, where X is the length of the box. Explain how you know X equals - 2 is not zero

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  1. 24 November, 00:04
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    Step-by-step explanation:

    The volume v in cubic feet of a shipping box is modeled by the polynomial function V (x) = x^3-2x^2-19x+20, where X is the length of the box. To determine if x = - 2 is not a zero of the polynomial function, we would substitute x = - 2 into the polynomial function, V (x) = x^3-2x^2-19x+20. If the result is not zero, it means that x = - 2 not a zero of the polynomial function. Therefore

    (-2) ^3-2 (-2) ^2-19 (-2) + 20

    = - 8 - 8 + 38 + 20 = 42

    Since 42 is not equal to 0, then x = - 2 not a zero of the polynomial function.
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