Summary of "📌 GRADO de un POLINOMIO"

Degree of a Polynomial

Degree (one variable): the degree of a polynomial in one variable is the highest exponent of that variable.
Implicit exponent 1: when a variable appears without an exponent, it is understood to have exponent 1 (for example, x means x^1).
Constant polynomials: a nonzero constant (no variable present) has degree 0.
Degree of a monomial (multiple variables): the degree is the sum of the exponents of all variables in that term.
Degree of a polynomial with many terms: the degree of the polynomial is the highest degree among its terms.
Important detail: when determining degree, consider exponents of variables only — ignore exponents on numeric coefficients.

For a single-variable polynomial:
- Identify the exponent on the variable in each term.
- The polynomial’s degree is the largest of those exponents.
For a constant (no variable):
- Degree = 0.
For a monomial with several variables (one term):
- Add the exponents of all variables in the term; that sum is the monomial’s degree.
For a polynomial with several terms (multivariable):
- Compute the degree of each term by summing variable exponents in that term.
- The polynomial’s degree is the largest term-degree found.
Always treat a missing exponent as 1; ignore numeric coefficient exponents when finding degree.

Single-variable:
- Highest exponent 3 → degree 3.
- Highest exponent 4 → degree 4.
- A lone number (no variable) → degree 0.
- x (no exponent shown) → degree 1.
- x^2 → degree 2.
Multivariable monomials and polynomials:
- Monomial x^2 y^3 → degree = 2 + 3 = 5.
- Polynomial with terms x^2 y^2 (degree 4) and x^4 y (degree 5) → polynomial degree = 5.
- Monomial x y z (each exponent 1) → degree = 1 + 1 + 1 = 3.
- Polynomial where term1 exponents sum to 8 (3 + 1 + 4) and term2 sum to 6 (4 + 1 + 1) → polynomial degree = 8.

Q1: Monomial with highest single-variable exponent 4 → degree 4 (correct answer: A).
Q2: Monomial with exponents 2, 3, 1 → degree = 2 + 3 + 1 = 6 (correct answer: 6).
Q3: Polynomial with three terms whose term-degrees are 6, 3, and 7 → polynomial degree = 7 (correct answer: C).