Answer :
Sure! Let's find [tex]\( F(-5) \)[/tex] for the given polynomial function [tex]\( F(x) = x^2 - 2x - 7 \)[/tex].
To calculate [tex]\( F(-5) \)[/tex], follow these steps:
1. Substitute [tex]\( x = -5 \)[/tex] into the function [tex]\( F(x) \)[/tex]:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. First, calculate [tex]\( (-5)^2 \)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Next, calculate [tex]\( -2(-5) \)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
4. Now, combine all the terms together:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Perform the addition and subtraction:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
So, [tex]\( F(-5) = 28 \)[/tex].
Therefore, the correct answer is:
C. 28
To calculate [tex]\( F(-5) \)[/tex], follow these steps:
1. Substitute [tex]\( x = -5 \)[/tex] into the function [tex]\( F(x) \)[/tex]:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. First, calculate [tex]\( (-5)^2 \)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Next, calculate [tex]\( -2(-5) \)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
4. Now, combine all the terms together:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Perform the addition and subtraction:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
So, [tex]\( F(-5) = 28 \)[/tex].
Therefore, the correct answer is:
C. 28
