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

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Extra Insights
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 \( \text{A } -2 \).