Rewrite the following polynomial in standard form. \[ 10 x-\frac{x^{4}}{5}-6 \]

The polynomial \( 10x - \frac{x^{4}}{5} - 6 \) can be rewritten in standard form by arranging the terms in descending order of the degree of \( x \). Here’s the step-by-step process: 1. **Identify the degrees of each term:** - \(-\frac{x^4}{5}\) has degree 4. - \(10x\) has degree 1. - \(-6\) is a constant term with degree 0. 2. **Arrange the terms in descending order:** - Start with the highest degree term: \(-\frac{x^4}{5}\). - Follow with the next highest degree: \(10x\). - End with the constant term: \(-6\). So, the polynomial in standard form is: \[ -\frac{1}{5}x^{4} + 10x - 6 \]