November 29th

Today, we are solving equations:
1. Biquadratic equations
A biquadratic equation is a quartic equation without odd degree terms; in general,
ax ⁴+bx²+c=0
where a, b and c are real numbers.
To solve it, we use the substitution y=x²; that leads to the quadratic equation ay²+by²+c=0.
Solve these exercises in your notebook and then check your answers on the web.

2. Radical equations
A radical equation is an equation that has at least one variable expression inside a radical, usually a square root. Here you have an explanation on how to solve these equations:

Now try some exercises.

3. Equations involving fractions
Solve these exercises.

4. Simultaneous equations
Do you remember how to solve simultaneous equations? Prove it.

November 8th

Polynomials
We´ve learned about the long and the synthetic division of polynomials, how to factor them and the Remainder and Factor Theorems. It´s time to put that knowledge to the test with some interactive quizzes:
Quiz 1: about synthetic division and the Remainder Theorem.
Quiz 2: factoring polynomials.
Quiz 3: Remainder and Factor Theorem Quiz.

Some extra practice (non-interactive).