Question

use the questions below to keep track of key concepts from this lesson’s study activity.
key terms
in your own words, write a definition for each key term listed below.
degree:
monomial:
polynomial:

Explanation:

For "degree" (in polynomial context): The highest power of the variable in a polynomial term (or the sum of exponents for multi - variable terms). For example, in \(3x^2 + 2x\), the degree is 2.

For "monomial": An algebraic expression with only one term. It can be a number, a variable, or a product of numbers and variables (e.g., \(5\), \(x\), \(3x^2y\)).

For "polynomial": An algebraic expression made up of one or more monomials (terms) combined by addition or subtraction. For example, \(2x^2+3x - 5\) or just \(4x\) (which is also a monomial, and all monomials are polynomials).

Answer:

• degree: The highest power of the variable in a polynomial term (or sum of exponents for multi - variable terms).
• monomial: An algebraic expression with one term (number, variable, or product of these).
• polynomial: An algebraic expression with one or more monomials combined by +/-.