Answer :

To find [tex]\( F(-5) \)[/tex] for the polynomial function [tex]\( F(x) = x^2 - 2x - 7 \)[/tex], we need to substitute [tex]\( x = -5 \)[/tex] into the expression for [tex]\( F(x) \)[/tex].

Here are the steps:

1. Substitute [tex]\(-5\)[/tex] into the polynomial:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]

2. Calculate each term:
- [tex]\((-5)^2 = 25\)[/tex]
- [tex]\(-2 \times (-5) = 10\)[/tex]
- The constant term is [tex]\(-7\)[/tex]

3. Add these results together:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]

4. Perform the addition:
[tex]\[
25 + 10 = 35
\][/tex]

5. Subtract 7 from the result:
[tex]\[
35 - 7 = 28
\][/tex]

Thus, [tex]\( F(-5) = 28 \)[/tex].

Therefore, the correct answer is C. 28.

Thanks for taking the time to read Given the polynomial function below find tex F 5 tex tex F x x 2 2x 7 tex A 22 B 42 C 28 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada