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This is sometimes quite tricky. You can use several tricks to help you factor expressions.

The first thing you should look out for is whether there is some common factor which you can take out.

Example: 3x2 + 5x

has the common factor "x"

Taking it out, you get:

x (3x + 5)

Next, you look for some special forms, which you need to get familiar with - such as the difference of two squares, the sum or difference of two cubes, etc. You can probably find those special forms in the corresponding chapter in your algebra book.

What else can I help you with?