Question

Write each polynomial in standard form of 2y+4y³+5-3y²

Answer 1

The polynomial 2y + 4y³ + 5 - 3y² is written in standard form as 4y³ - 3y² + 2y + 5, with terms arranged in descending order of their exponents.

Step-by-step explanation:

To write the polynomial 2y + 4y³ + 5 - 3y² in standard form, we need to arrange the terms in descending order of their exponents. The standard form of a polynomial is when the terms are ordered from the highest degree to the lowest degree. Therefore, the polynomial in standard form is:

4y³ - 3y² + 2y + 5.

This is because the term with the largest exponent (cubic term) comes first, followed by the quadratic term, the linear term, and finally the constant term.