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To rewrite the polynomial \(-4x^3 + 5 - 10x^2\) in standard form, we arrange the terms in descending order of the degree of \(x\).

The degrees of each term are:
- \(-4x^3\) has degree 3,
- \(-10x^2\) has degree 2,
- \(5\) is a constant term (degree 0).

Thus, the polynomial in standard form is:

\[
-4x^3 - 10x^2 + 5
\]

Would you like more details or have any other questions?

Here are 5 related questions to expand on this topic:
1. What is a polynomial and how is its degree determined?
2. How can we identify the leading coefficient in a polynomial?
3. How do we add or subtract polynomials?
4. What happens when a polynomial is multiplied by a constant?
5. How do we factor a polynomial?

**Tip:** Always check that the terms are in descending order by degree when writing polynomials in standard form!

Rewrite the following polynomial in standard form: -4x^3 + 5 - 10x^2.

Learn how to rewrite the polynomial -4x^3 + 5 - 10x^2 in standard form by arranging terms in descending order of degree. This problem involves key algebraic concepts, including polynomial structure and standard form. Suitable for students in Grades 8-10.

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