Question
Find the value of the expression \( 5 x^{2}+3 x+2 \) when \( x=-2 \). \( \begin{array}{l}-30 \\ 0-32 \\ 0 \\ 10 \\ 16 \\ 08\end{array} \)
Ask by Clarke Fernandez. in the United States
Feb 25,2025
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Tutor-Verified Answer
Answer
The value of the expression \( 5x^{2} + 3x + 2 \) when \( x = -2 \) is 16.
Solution
We need to evaluate the expression 5x² + 3x + 2 when x = -2.
Step 1: Substitute -2 into the expression:
5(-2)² + 3(-2) + 2
Step 2: Compute (-2)²:
(-2)² = 4
Step 3: Multiply by 5:
5 × 4 = 20
Step 4: Multiply 3 by -2:
3 × (-2) = -6
Step 5: Combine all terms:
20 + (-6) + 2 = 20 - 6 + 2 = 16
Thus, the value of the expression when x = -2 is 16.
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Simplify this solution The Deep Dive
To find the value of the expression \( 5 x^{2}+3 x+2 \) when \( x=-2 \), we substitute \(-2\) for \(x\): \[ 5(-2)^{2} + 3(-2) + 2. \] Calculating each term step-by-step: 1. \( (-2)^{2} = 4 \) 2. \( 5 \times 4 = 20 \) 3. \( 3 \times (-2) = -6 \) Now, combine the results: \[ 20 - 6 + 2 = 20 - 6 + 2 = 16. \] So, the value of the expression is \( \boxed{16} \).
