Final answer:
The polynomial -x⁴ + 3x³ + 5x² + 1/7 is the standard form of the given polynomial, arranged in descending order by degree.
Step-by-step explanation:
The subject of this question is Mathematics, specifically it involves working with polynomials. To rewrite the given polynomial in standard form, you must arrange the terms in descending order based on the degree of each term, from highest to lowest. The polynomial provided is 5x² + 3x³ - x⁴ + 1/7. The standard form of this polynomial is -x⁴ + 3x³ + 5x² + 1/7.