Let's address the given polynomial expression step by step to find its simplified form and choose the correct option.
Given expression:
[tex]\[ 05 x^5 - 06 x \][/tex]
The expression contains two terms:
1. [tex]\( 05 x^5 \)[/tex]
2. [tex]\( -06 x \)[/tex]
Both terms already appear to be simplified because:
- There are no like terms to combine.
- Each term is expressed in its simplest form.
Hence, the simplified polynomial is exactly what is given:
[tex]\[ 05 x^5 - 06 x \][/tex]
Now, let's compare this with the options provided. We need to match with the given choices:
A) [tex]\( 05 x^5 - 86 x \)[/tex]
This is not correct because [tex]\( -06 x \)[/tex] does not equal [tex]\( -86 x \)[/tex].
B) [tex]\( -81 x^4 \)[/tex]
This is not correct because the degree and coefficients do not match the given expression.
C) [tex]\( -06 x + 05 x^3 \)[/tex]
This is not correct because the powers of [tex]\( x \)[/tex] do not match the given expression.
Clearly, the only properly simplified form we have is:
[tex]\[ 05 x^5 - 06 x \][/tex]
Therefore, none of the provided options match the simplified form exactly. We needed to recognize that the correct form remains as given:
[tex]\[ 05 x^5 - 06 x \][/tex]
