Question

evaluate the following expression for ( z = 8 ).
( 2x^2 + 6z + 2 )
options: 188, 854, 178, 82

Explanation:

Step1: Substitute \( z = 8 \) into the expression

Substitute \( z = 8 \) into \( 2z^2 + 6z + 2 \), we get \( 2\times8^2 + 6\times8 + 2 \).

Step2: Calculate the exponent

First, calculate \( 8^2 = 64 \), so the expression becomes \( 2\times64 + 6\times8 + 2 \).

Step3: Perform multiplications

Calculate \( 2\times64 = 128 \) and \( 6\times8 = 48 \), so the expression is \( 128 + 48 + 2 \).

Step4: Perform additions

Add \( 128 + 48 = 176 \), then \( 176 + 2 = 178 \).

Answer:

178