Question

1. $2k^2 + 5k + 2$, if $k = 11$

Explanation:

Step1: Substitute \( k = 11 \) into the expression \( 2k^2 + 5k + 2 \)

First, calculate \( k^2 \) when \( k = 11 \), so \( k^2 = 11^2 = 121 \). Then substitute into the term \( 2k^2 \), we get \( 2\times121 = 242 \).

Step2: Calculate the term \( 5k \)

Substitute \( k = 11 \) into \( 5k \), we have \( 5\times11 = 55 \).

Step3: Sum up all the terms

Now we have \( 2k^2 = 242 \), \( 5k = 55 \), and the constant term is \( 2 \). So we add them together: \( 242 + 55 + 2 \). First, \( 242+55 = 297 \), then \( 297 + 2 = 299 \).

Answer:

\( 299 \)