To evaluate the expression [tex]\(x^2 + 14\)[/tex] for [tex]\(x = -5\)[/tex], follow these steps:
1. Substitute [tex]\(x\)[/tex] with [tex]\(-5\)[/tex] in the expression [tex]\(x^2 + 14\)[/tex].
2. Calculate [tex]\((-5)^2\)[/tex].
[tex]\[
(-5)^2 = (-5) \times (-5) = 25
\][/tex]
3. Add 14 to the result obtained in step 2.
[tex]\[
25 + 14 = 39
\][/tex]
Thus, the value of the expression [tex]\(x^2 + 14\)[/tex] for [tex]\(x = -5\)[/tex] is 39.
Hence, the correct answer is:
D) 39
