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To rewrite the given polynomial in standard form, we need to arrange the terms in descending order of their degrees (powers of \( x \)).

The polynomial is:

\[
6x^2 + 1 - \frac{1}{4}x
\]

In standard form, the terms are arranged by their powers of \( x \):

\[
6x^2 - \frac{1}{4}x + 1
\]

So, the polynomial in standard form is:

\[
6x^2 - \frac{1}{4}x + 1
\]

Would you like more details or have any other questions about this?

Here are 5 related questions to further your understanding:

1. What is the degree of the polynomial \( 6x^2 - \frac{1}{4}x + 1 \)?
2. How do you classify a polynomial based on its degree and number of terms?
3. What is the leading coefficient of the polynomial in standard form?
4. How can you factor the polynomial \( 6x^2 - \frac{1}{4}x + 1 \)?
5. What is the importance of writing polynomials in standard form?

**Tip:** The degree of a polynomial is determined by the highest power of the variable.

Rewrite the following polynomial in standard form. 6x^2 + 1 - 1/4x

Explore how to rewrite the polynomial 6x^2 + 1 - 1/4x into standard form, focusing on arranging terms by degrees. This tutorial is ideal for high school students learning about polynomial expressions and their properties.

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