To express the polynomial \( k^3 - 6k^2 - 3k + 40 \) in standard form, we simply need to arrange it in descending order of the powers of \( k \).
The given polynomial is already arranged in standard form:
\[ k^3 - 6k^2 - 3k + 40 \]
In standard form, the terms are ordered by the degree of \( k \), starting with the highest degree:
- The term with \( k^3 \) is \( k^3 \).
- The term with \( k^2 \) is \(-6k^2\).
- The term with \( k \) is \(-3k\).
- The constant term is \( +40 \).
Thus, the polynomial in standard form is:
\[ k^3 - 6k^2 - 3k + 40 \]
This representation is already in standard form, and there are no further adjustments needed.