The polynomial given is:

$-6x^3 + 4x + 3x^4 + 5$

To write this polynomial in standard form, follow these steps:

1. Arrange the terms in descending order of the exponents of $x$: The highest power of $x$ is $x^4$, followed by $x^3$, $x^1$, and the constant $x^0$.

   So, rearrange the terms as: $3x^4 - 6x^3 + 4x + 5$

Final Answer:

$\boxed{3x^4 - 6x^3 + 4x + 5}$

Would you like further clarification or examples?

Here are 5 related questions to expand on this topic:

1. How do you identify the degree of a polynomial?
2. What does it mean for a polynomial to be in "standard form"?
3. How do you combine like terms when simplifying polynomials?
4. Can a polynomial have fractional or negative exponents? Why or why not?
5. What are the steps to evaluate a polynomial for a specific value of $x$?

Tip: Always check the exponents when rewriting polynomials to ensure the terms are correctly ordered!