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Answer :
To find [tex]\( F(-5) \)[/tex] for the polynomial function [tex]\( F(x) = x^2 - 2x - 7 \)[/tex], follow these steps:
1. Substitute [tex]\(-5\)[/tex] for [tex]\(x\)[/tex] in the polynomial:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Calculate the term [tex]\(-2(-5)\)[/tex]:
[tex]\[
-2(-5) = 10
\][/tex]
4. Substitute these values back and perform the operations:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Add and subtract the numbers:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is [tex]\(\boxed{28}\)[/tex].
1. Substitute [tex]\(-5\)[/tex] for [tex]\(x\)[/tex] in the polynomial:
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
3. Calculate the term [tex]\(-2(-5)\)[/tex]:
[tex]\[
-2(-5) = 10
\][/tex]
4. Substitute these values back and perform the operations:
[tex]\[
F(-5) = 25 + 10 - 7
\][/tex]
5. Add and subtract the numbers:
[tex]\[
25 + 10 = 35
\][/tex]
[tex]\[
35 - 7 = 28
\][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is [tex]\(\boxed{28}\)[/tex].
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