Final answer:
The polynomial 2x² + x³ + -7x + 1 in standard form is x³ + 2x² - 7x + 1, with terms ordered from the highest to the lowest degree.
Step-by-step explanation:
To rewrite the polynomial 2x² + x³ + -7x + 1 in standard form, we need to order the terms from highest to lowest degree. The standard form of a polynomial is written as ax^n + bx^(n-1) + ... + k, where 'n' is the degree of the polynomial, and 'a', 'b', ..., 'k' are constants.
Therefore, the polynomial in standard form is x³ + 2x² - 7x + 1.