Factoring quadratic expressions is an important skill in algebra. Here are some key techniques to help you:

1. Know the Standard Form: Quadratic expressions usually look like this: $ax^2 + bx + c$. Here, $a$, $b$, and $c$ are just numbers.

2. Factoring by Inspection: This method means finding two numbers that multiply to $ac$ (which is $a$ times $c$) and also add up to $b$.

3. Using the Quadratic Formula: You can use this formula: $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. It helps you find the roots (the solutions) of the quadratic. This can also help you write it in factored form like this: $a(x - r_1)(x - r_2)$, where $r_1$ and $r_2$ are the roots.

4. Completing the Square: This is another way to rewrite a quadratic expression. You change it to the form $(x + p)^2 = q$, which can also help you factor it.

5. Finding Common Factors: Always look for common factors first. This can make factoring easier before you try other methods.

Getting good at these techniques will improve your problem-solving skills in algebra. In fact, they can help you solve over 70% of the quadratic expression questions you might see on tests!