Replace each boxed question mark with a polynomial that results in the given product.2x³y² · ? = 12x⁵y⁴

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents. It can be represented in the form of a sum of terms, such as ax^n + bx^(n-1) + ... + c, where a, b, and c are constants, and n is a non-negative integer. Understanding polynomials is essential for manipulating and solving algebraic equations.

Multiplying polynomials involves applying the distributive property, where each term in the first polynomial is multiplied by each term in the second polynomial. The result is a new polynomial formed by combining like terms. This concept is crucial for solving problems that require finding an unknown polynomial that, when multiplied by a given polynomial, yields a specified product.

The degree of a polynomial is the highest power of the variable in the expression. It provides insight into the polynomial's behavior and the number of roots it may have. In the context of the given problem, understanding the degrees of the polynomials involved helps in determining the appropriate form of the unknown polynomial to achieve the desired product.