Answer :

Sure! Let's solve the problem step-by-step:

We are given a polynomial function:

[tex]\[ F(x) = x^2 - 2x - 7 \][/tex]

We need to find the value of [tex]\( F(-5) \)[/tex].

To do this, we will substitute [tex]\( x = -5 \)[/tex] into the polynomial function and calculate:

1. Start with the expression:

[tex]\[ F(x) = x^2 - 2x - 7 \][/tex]

2. Substitute [tex]\(-5\)[/tex] for [tex]\(x\)[/tex]:

[tex]\[ F(-5) = (-5)^2 - 2(-5) - 7 \][/tex]

3. Calculate each part:

- [tex]\((-5)^2 = 25\)[/tex]
- [tex]\(-2(-5) = 10\)[/tex]

4. Substitute these values back into the expression:

[tex]\[ F(-5) = 25 + 10 - 7 \][/tex]

5. Simplify:

[tex]\[ F(-5) = 35 - 7 \][/tex]

6. Final calculation:

[tex]\[ F(-5) = 28\][/tex]

So, the value of [tex]\( F(-5) \)[/tex] is 28. The correct answer is B. 28.

Thanks for taking the time to read Given the polynomial function below find tex F 5 tex tex F x x 2 2x 7 tex A 42 B 28 C 8 D. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada