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 function.
Begin by replacing every occurrence of [tex]\(x\)[/tex] in the expression [tex]\(x^2 - 2x - 7\)[/tex] with [tex]\(-5\)[/tex].
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate each part separately:
- First calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
- Next, calculate the second term, [tex]\(-2 \times (-5)\)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
- Finally, the constant term remains [tex]\(-7\)[/tex].
3. Add the results of each part:
Sum the results from the calculations:
[tex]\[
25 + 10 - 7 = 28
\][/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 function.
Begin by replacing every occurrence of [tex]\(x\)[/tex] in the expression [tex]\(x^2 - 2x - 7\)[/tex] with [tex]\(-5\)[/tex].
[tex]\[
F(-5) = (-5)^2 - 2(-5) - 7
\][/tex]
2. Calculate each part separately:
- First calculate [tex]\((-5)^2\)[/tex]:
[tex]\[
(-5)^2 = 25
\][/tex]
- Next, calculate the second term, [tex]\(-2 \times (-5)\)[/tex]:
[tex]\[
-2 \times (-5) = 10
\][/tex]
- Finally, the constant term remains [tex]\(-7\)[/tex].
3. Add the results of each part:
Sum the results from the calculations:
[tex]\[
25 + 10 - 7 = 28
\][/tex]
Therefore, the value of [tex]\( F(-5) \)[/tex] is [tex]\(\boxed{28}\)[/tex].
