LCHL Maths – Algebra

Leaving Cert Higher Level Maths LCHL Maths – Algebra

LCHL Algebra

The full LCHL Algebra strand — factorising, quadratics, cubics, inequalities and more. Work through every lesson in order, drill the key formulas, and check your answers against fully worked solutions.

Your progress through this topic0 of 23 lessons

Lessons in this topic

All 23 lessons, in order — each one ticks off as you open it.

1Revision of Junior Cert factorising2Factorising quadratic equations3Factorising the sum of two cubes and difference of two cubes4Revision of Junior Cert fractions5Fractions Part 26Inequalities7Rational Inequalities8Quadratic graphs9Nature of quadratic graphs10Generating a cubic equation given the roots11Solving cubic equations12Nature of cubic roots13Long division14Manipulation of formula15Modulus Equations16Modulus graphs17Surd equations18Simultaneous equations in three variables19Simultaneous Equations by substitution20Pascal’s triangle21Binomial Theorem22Abstract Inequalities23Iterative equations

Key ideas in this topic

📖 In the log tables
The Quadratic Formula
The Quadratic FormulaAlgebra 2
★ Must learn
Difference of Two Squares
Difference of Two SquaresAlgebra 1
★ Must learn
Sum of Two Cubes
Sum of Two CubesAlgebra 3
★ Must learn
Difference of Two Cubes
Difference of Two CubesAlgebra 3
★ Must learn
The discriminant — two distinct real roots
The discriminant — two distinct real rootscrosses the x-axis twice
★ Must learn
The discriminant — one repeated real root
The discriminant — one repeated real roottouches the x-axis
★ Must learn
The discriminant — no real roots
The discriminant — no real rootsdoesn’t meet the x-axis

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 1 Q1 →2023 Paper 1 Q2 →2023 Paper 1 Q4 →2023 Paper 2 Q4 →2022 Paper 1 Q2 →

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