To determine the value of the expression [tex]\( w^2 + 3w - 11 \)[/tex] when [tex]\( w = -5 \)[/tex], we will substitute [tex]\( w = -5 \)[/tex] into the expression and simplify step by step.
1. Substitute [tex]\( w = -5 \)[/tex] into the expression:
[tex]\[
(-5)^2 + 3(-5) - 11
\][/tex]
2. Calculate [tex]\( (-5)^2 \)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Calculate [tex]\( 3(-5) \)[/tex]:
[tex]\[
3(-5) = -15
\][/tex]
4. Combine the calculated values:
[tex]\[
25 + (-15) - 11
\][/tex]
5. Simplify the expression:
[tex]\[
25 - 15 - 11 = 10 - 11 = -1
\][/tex]
Therefore, the correct answer is:
D. -1
