Question

a term without a variable in a polynomial is known as a
term.

when polynomials are used to model real - world problems, they
can help us understand relationships between quantities, which
is often referred to as
modeling.

of polynomials is important for solving
higher degree equations in algebra.

Explanation:

1. In polynomials, terms without variables are defined as constant terms, as their value does not change.
2. Using polynomials to analyze real-world quantity relationships falls under mathematical modeling, a standard application of algebraic tools.
3. Factoring polynomials breaks them into simpler factors, which is a core method to solve higher-degree algebraic equations by reducing their complexity.

Answer:

1. constant
2. mathematical
3. Factoring