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

To rewrite the polynomial \(-10x - \frac{x^{4}}{5} - 6\) in standard form, arrange the terms in descending order of their exponents. The standard form of a polynomial lists the terms starting with the highest degree first. Here is the polynomial in standard form: \[ -\frac{1}{5}x^{4} - 10x - 6 \] **Explanation:** 1. **Identify the degrees of each term:** - \(-\frac{x^{4}}{5}\) has a degree of 4. - \(-10x\) has a degree of 1. - \(-6\) is a constant term with a degree of 0. 2. **Arrange the terms in descending order of degree:** - Start with the \(x^4\) term. - Follow with the \(x\) term. - End with the constant term. 3. **Simplify the coefficients (if necessary):** - \(-\frac{x^{4}}{5}\) can be written as \(-\frac{1}{5}x^{4}\). So, the final standard form is: \[ -\frac{1}{5}x^{4} - 10x - 6 \]