Page 2: Polynomials and Advanced Operations

This section delves into polynomial operations and notable identities, providing comprehensive coverage of more complex algebraic concepts.

Definition: A polynomial is an algebraic expression consisting of multiple terms, with the highest degree term determining the polynomial's degree.

Example: P(x) = -5x³ + 2x² - x + 3 is a third-degree polynomial.

Highlight: When evaluating polynomials, substitute the variable with the given value and calculate following order of operations.

The page covers:

• Polynomial addition and subtraction
• Finding common factors
• Notable identities including perfect square binomials
• The formula (a + b)² = a² + 2ab + b²

Page 1: Understanding Monomials and Basic Operations

This page introduces fundamental concepts of monomials and their operations. The content focuses on the structure and manipulation of algebraic expressions.

Definition: A monomial consists of a coefficient and literal part (variables with exponents).

Vocabulary: The grado de un monomio (degree of a monomial) is calculated by summing the exponents of its literal part.

Example: For the monomial -3xy², the degree is calculated as 1 + 2 = 3.

Highlight: Similar monomials must have identical literal parts to be added or subtracted.

The page explains basic operations with monomials:

• Addition and subtraction require similar terms
• Multiplication involves multiplying coefficients and adding exponents
• Division follows by dividing coefficients and subtracting exponents