How You Can (And Should) Get More Practice!

Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.

Theoretically Easier Difficulty Problem

Remember that special forms for difference of squares means we want to translate the original polynomial into some kind of , so what should you make and what should you make ?
Here and . You can use the difference of squares format to quick-factor this. Or you can think of this as a normal quadratic and ask if there are two numbers that multiply to but add to (since our middle term is really ).
Factor the following polynomial:

Theoretically Medium Difficulty Problem

Here and .
Factor the following polynomial:

Theoretically Harder Difficulty Problem

Here and .
Factor the following polynomial: