© 2023 by Name of Template. Proudly created with Wix.com

Algebra

Expanding expressions using Pascals triangles

The Binomial Theorem

For Factorials click here

-------------------------------------------------------------------------------------------------

Factorising Algebraic Expressions

-------------------------------------------------------------------------------------------------

The Factor Theorem (An example)

Sketching Polynomials (3 examples)

Completing the Square

Simultaneous Equations with 3 Variables

Rules for sketching Polynomials

Determining Unknown Coefficients

Using the completed square form to sketch graphs

Absolute Values (Modulus)

-------------------------------------------------------------------------------------------------

Inequalities

Examples of Linear Inequalities

Quadratic and Rational Inequalities

Absolute (Modulus) Inequalities

-------------------------------------------------------------------------------------------------

Matrices and Linear Algebra

Not required for Leaving Cert

Matrices - The Basics

The Determinant and Inverse Matrices

Solving Linear Equations using Matrices

Finding the Determinant of a 3 x 3 Matrix

Using Matrix of Minors, Cofactor and Adjugate to find the Inverse of a 3 x 3 Matrix

Transformations using Matrices

Using Gaussian Elimination to find the Inverse of a 3 x 3 Matrix

Linear Combinations

Spanning Sets, Bases and Linear Dependence

-------------------------------------------------------------------------------------------------

Partial Fractions

Not required for Leaving Cert

Partial Fraction Expansion 1

Partial Fraction Expansion 3

Partial Fraction Expansion 2

Partial Fraction Expansion 4