Final answer:
The polynomial −8x4+x3+9 is already in its simplest form because it contains no like terms to combine.
The simplified expression remains the same after the simplification process.
Step-by-step explanation:
The question asks to simplify the polynomial −8x4+x3+9.
To simplify this polynomial, we will first identify like terms, which are terms that have the same variables raised to the same power.
In this case, there are no like terms other than the terms themselves because they each have distinct variables or constants.
In the absence of like terms to combine, the polynomial is already in its simplest form. Therefore, the simplified expression is −8x4+x3+9.
Once we have the simplified expression, it is important to check the answer to ensure it is reasonable.
In this case, since there were no operations to perform other than writing down the original terms, we can be confident that the simplified form is correct.