Answer :
To find [tex]\( F(-5) \)[/tex] for the given polynomial function [tex]\( F(x) = x^2 - 2x - 7 \)[/tex], follow these steps:
1. Substitute [tex]\( -5 \)[/tex] into the function:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Calculate [tex]\(-2 \times (-5)\)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
4. Combine all parts of the substituted function:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Simplify the expression:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
Thus, the value of [tex]\( F(-5) \)[/tex] is 28. Therefore, the correct answer is:
A. 28
1. Substitute [tex]\( -5 \)[/tex] into the function:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Calculate [tex]\(-2 \times (-5)\)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
4. Combine all parts of the substituted function:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Simplify the expression:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
Thus, the value of [tex]\( F(-5) \)[/tex] is 28. Therefore, the correct answer is:
A. 28
