Sure, let's evaluate the expression [tex]\(-11 x^2\)[/tex] for [tex]\(x = -1\)[/tex].
1. Substitute [tex]\(x = -1\)[/tex] into the expression.
[tex]\[
-11 (-1)^2
\][/tex]
2. Evaluate the exponent first as per the order of operations (PEMDAS/BODMAS).
[tex]\[
(-1)^2 = 1
\][/tex]
3. Multiply the result by -11.
[tex]\[
-11 \times 1 = -11
\][/tex]
Therefore, the value of the expression [tex]\(-11 x^2\)[/tex] for [tex]\(x = -1\)[/tex] is [tex]\(\boxed{-11}\)[/tex].
