To determine the correct simplified form of the polynomial [tex]\(05 x^5 - 06 x\)[/tex], let's carefully analyze each of the given options:
1. Original Expression:
[tex]\[
05 x^5 - 06 x
\][/tex]
Simplifying it directly and considering potential formatting issues, we understand [tex]\(05\)[/tex] and [tex]\(06\)[/tex] to simply be [tex]\(5\)[/tex] and [tex]\(6\)[/tex]:
[tex]\[
5 x^5 - 6 x
\][/tex]
2. Choices:
- Option A: [tex]\(0 x^5 06 x\)[/tex]
[tex]\[
0 x^5 + 6 x
\][/tex]
Simplified, this becomes:
[tex]\[
6 x
\][/tex]
This does not match [tex]\(5 x^5 - 6 x\)[/tex].
- Option B: [tex]\(- 8.5\)[/tex]
This is a constant and does not match our polynomial [tex]\(5 x^5 - 6 x\)[/tex].
- Option C: [tex]\(\cos\left(-1 x^2\right)\)[/tex]
This expression involves a trigonometric function and therefore is entirely different from our polynomial [tex]\(5 x^5 - 6 x\)[/tex].
- Option D: [tex]\( -86 + 05 x^3 \)[/tex]
[tex]\[
-86 + 5 x^3
\][/tex]
This option also does not match our polynomial [tex]\(5 x^5 - 6 x\)[/tex].
After examining all the options, none of them seem to be correctly matching the simplified form of [tex]\(5 x^5 - 6 x\)[/tex].
Therefore, it seems like there may have been some misunderstanding in the options provided, but based on mathematical examination, we can confirm that:
The correct simplified form of [tex]\(05 x^5 - 06 x\)[/tex] is:
[tex]\[
5 x^5 - 6 x
\][/tex]
None of the given options A, B, C, or D simplify to this form.
