Final answer:
The correct order of the polynomial 2y⁵ + y + 3y⁷ - 4y³ + 12 is 3y⁷ + 2y⁵ - 4y³ + y + 12, arranged from the highest to the lowest degree of y.
Step-by-step explanation:
The correct order of the polynomial 2y⁵+y+3y⁷-4y³+12 is arranged by the degree of each term from highest to lowest. This is also known as writing the polynomial in standard form. The degree of a term is the exponent on the variable. In this polynomial, the terms should be ordered by their degree of y, so we start with the highest exponent (the largest degree) and move down to the constant term, which has a degree of 0, as it does not contain the variable y.
To rewrite the polynomial in standard form, we would order the terms as follows: 3y⁷, 2y⁵, -4y³, y, 12. Hence, the correct order of the polynomial is 3y⁷ + 2y⁵ - 4y³ + y + 12.
It's important to note we do not need the additional information provided in the question as it seems to refer to different mathematical concepts and equations that are unrelated to the ordering of terms in a polynomial.