Step 1: Substitute \( x = 2 \) into the expression
We are asked to find the value of the expression \( 3x^2 - 5x + 7 \) when \( x = 2 \).
Substitute \( x = 2 \) into the expression: \[ 3(2)^2 - 5(2) + 7 \]
Step 2: Simplify the expression
\[ = 3 \times 4 - 5 \times 2 + 7 \] \[ = 12 - 10 + 7 \] \[ = 9 \]
Answer:
Therefore, the value of \( 3x^2 - 5x + 7 \) when \( x = 2 \) is \( 9 \). So, the correct answer is option (1).