Answer :
To find [tex]\( F(-5) \)[/tex] for the polynomial function [tex]\( F(x) = x^2 - 2x - 7 \)[/tex], you can follow these steps:
1. Substitute [tex]\(-5\)[/tex] for [tex]\( x \)[/tex] in the function:
[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 all the results together:
[tex]\[
25 + 10 - 7 = 28
\][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is 28. The correct answer is B. 28.
1. Substitute [tex]\(-5\)[/tex] for [tex]\( x \)[/tex] in the function:
[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 all the results together:
[tex]\[
25 + 10 - 7 = 28
\][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is 28. The correct answer is B. 28.
