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Evaluate \( 2 x^{2}+4 x-2 \) when \( x=-2 \) Select the correct answer from the options below. \[ \begin{array}{l}\text { A }-2 \\ \text { B }-26 \\ \text { C }-18 \\ \text { D } 6 \\ \text { O } 8\end{array} \]

Ask by Rogers Barnett. in the United States
Mar 11,2025

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The value of the expression when \( x = -2 \) is -2, so the correct answer is A.

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To evaluate \( 2 x^{2}+4 x-2 \) when \( x=-2 \), we start by substituting \(-2\) into the expression. \[ 2 (-2)^{2} + 4 (-2) - 2 \] Calculating each term step-by-step: 1. Evaluate \((-2)^{2}\): \[ (-2)^{2} = 4 \] 2. Substitute this back into the expression: \[ 2 (4) + 4 (-2) - 2 \] 3. Multiply: \[ 8 - 8 - 2 \] 4. Combine these values: \[ 8 - 8 = 0 \] \[ 0 - 2 = -2 \] Thus, when \( x = -2 \), the value of \( 2 x^{2}+4 x-2 \) is \(-2\). The correct answer is \( \text{A } -2 \).

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