Exponents and Polynomials

Product, Power, and Quotient Rules

• Product rule with positive exponents: Multivariate
• Power rules with positive exponents: Multivariate products
• Power rules with positive exponents - Multivariate quotients
• Power and product rules with positive exponents
• Quotient of expressions involving exponents

Negative Exponents

• Product rule with negative exponents
• Quotient rule with negative exponents: Problem type 1
• Power of a power rule with negative exponents
• Power rules with negative exponents

Polynomial Addition and Subtraction

• Simplifying a sum or difference of two univariate polynomials

Polynomial Multiplication

• Multiplying a univariate polynomial by a monomial with a positive coefficient
• Multiplying binomials with leading coefficients of 1
• Multiplying binomials in two variables
• Multiplying conjugate binomials: Univariate
• Squaring a binomial: Univariate
• Multiplication involving binomials and trinomials in two variables

Polynomial Division

• Dividing a polynomial by a monomial - Univariate
• Polynomial long division - Problem type 1
• Synthetic division

Factoring Using the GCF

• Greatest common factor of two multivariate monomials
• Factoring out a monomial from a polynomial - Univariate

Factoring Special Products

• Factoring a difference of squares in one variable: Basic
• Factoring a difference of squares in one variable: Advanced
• Factoring with repeated use of the difference of squares formula
• Factoring a sum or difference of two cubes