Precalculus - Part 1

Precalculus - Part 1

This is the first part of the Precalculus section. The lessons gathered in this part mainly concern basic algebra and literal calculus. We will address the study of Monomials, Polynomials, and the operations that can be carried out on them. We will see how to decompose a polynomial into factors and how to solve Equations and Inequalities of the first degree.

Monomials

  1. Introduction to Monomials
  2. Operations with Monomials
  3. GCD and lcm between Monomials

Polynomials

  1. Introduction to Polynomials
  2. Algebraic Sum of Polynomials
  3. Product between Monomials and Polynomials
  4. Product between Polynomials
  5. Algebraic Identities
    1. Square of a Binomial
    2. Square of a Trinomial
    3. Product of the Sum of Two Monomials by their Difference
    4. Cube of a Binomial
    5. Power of a Binomial
  6. Division of a Polynomial by a Monomial
  7. Division of Polynomials
  8. Ruffini's Rule
  9. Polynomial Remainder Theorem
  10. Factor Theorem

Introduction to Linear Equations

  1. Mathematical Identities
  2. Introduction to Mathematical Equations
  3. Equations Equivalence Principles