Algebra 2 
Topics in this section:

Section 1: Quadratic equations
Solving quadratic equations by factorising 

Using the quadratic formula 

Solving a quadratic equation using substitution 

Solving a quadratic surd equation using substitution 

2. The nature of quadratic roots
Using the discriminant to find the nature of quadratic roots 

Problem involving equal roots 

Proving roots are rational 

3. Quadratic and linear simultaneous equations
Points of intersection of a line and a quadratic curve 

Using the substitution method to solve quadratic and linear equations simultaneously 

4. Quadratic and linear simultaneous equations
Context problem with simultaneous equations 

5. Sum and product of quadratic roots
6. Vertex form of a quadratic equation
An introduction to completing the square 

Finding the minimum value of a quadratic expression


Expressing a quadratic in complete square form:


7. Surds and surd equations
Simplifying surds 

Simplifying surd fractions


8. Solving surd equations
Solving surd equations and verifying solutions 

Solving an equation with two surd terms and verifying the solutions 

9. The Factor Theorem
Using the factor theorem to find unknown coefficients 

Factorising cubic expressions 

Solving cubic equations 

11. Cubic graphs
Finding an expression for a cubic function from its graph 

Finding the expression for a degree 4 polynomial from its graph 

Revision Questions with Solutions
1. Solve quadratic equations
2. The nature of quadratic roots
3. Quadratic and linear simultaneous equations
4. Sum and product of quadratic roots
5. Vertex form of a quadratic equation
6. Surds and surd equations
7. The Factor Theorem
8. Factorise and solve cubics
9. Cubic graphs