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Answer :
To evaluate the polynomial
[tex]$$
F(x) = x^2 - 2x - 7
$$[/tex]
at [tex]$x = -5$[/tex], follow these steps:
1. Substitute [tex]$x = -5$[/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 the product [tex]$-2(-5)$[/tex]:
[tex]$$
-2(-5) = 10.
$$[/tex]
4. Now combine the results:
[tex]$$
F(-5) = 25 + 10 - 7.
$$[/tex]
5. First, add [tex]$25 + 10$[/tex]:
[tex]$$
25 + 10 = 35,
$$[/tex]
and then subtract [tex]$7$[/tex]:
[tex]$$
35 - 7 = 28.
$$[/tex]
Thus, the value of [tex]$F(-5)$[/tex] is
[tex]$$
28.
$$[/tex]
The correct answer is option C.
[tex]$$
F(x) = x^2 - 2x - 7
$$[/tex]
at [tex]$x = -5$[/tex], follow these steps:
1. Substitute [tex]$x = -5$[/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 the product [tex]$-2(-5)$[/tex]:
[tex]$$
-2(-5) = 10.
$$[/tex]
4. Now combine the results:
[tex]$$
F(-5) = 25 + 10 - 7.
$$[/tex]
5. First, add [tex]$25 + 10$[/tex]:
[tex]$$
25 + 10 = 35,
$$[/tex]
and then subtract [tex]$7$[/tex]:
[tex]$$
35 - 7 = 28.
$$[/tex]
Thus, the value of [tex]$F(-5)$[/tex] is
[tex]$$
28.
$$[/tex]
The correct answer is option C.
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