Question

1. what is the value of the expression $6x^2 - 3x - 8$ when $x = 2$?

Explanation:

Step1: Substitute \( x = 2 \) into the expression \( 6x^2 - 3x - 8 \)

First, calculate \( x^2 \) when \( x = 2 \), so \( x^2 = 2^2 = 4 \). Then substitute into the expression: \( 6\times4 - 3\times2 - 8 \)

Step2: Calculate each term

Calculate \( 6\times4 = 24 \), \( 3\times2 = 6 \). Now the expression becomes \( 24 - 6 - 8 \)

Step3: Perform the subtraction

First, \( 24 - 6 = 18 \), then \( 18 - 8 = 10 \)

Answer:

10