Question

polynomial expressions consist of variables, coefficients, and __________.
the numerical factor of a term in a polynomial is known as the __________.
terms that have the same variables and exponents in a polynomial are called __________ terms.
the process of simplifying an expression by combining like terms is referred to as __________.
the highest exponent in a polynomial is called the __________ of the polynomial.
a polynomial without a variable is called a __________ term.

Explanation:

1. Polynomials are defined as expressions made of variables, coefficients, and valid mathematical operations (addition, subtraction, multiplication, non-negative integer exponents).
2. The numerical factor paired with variables in a polynomial term is its coefficient.
3. Terms matching in variables and their respective exponents are classified as like terms.
4. Simplifying polynomials by merging identical like terms is called combining like terms.
5. The highest value of the exponent on a variable in a polynomial is its degree.
6. A polynomial term with no variable component is a constant term, as its value does not change.

Answer:

1. mathematical operations
2. coefficient
3. like
4. combining like terms
5. degree
6. constant