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

Start by taking the coefficient in front of the term and dividing it by two.
Take the number from the previous hint and square it, adding and subtracting that number.
Complete the square on the following quadratic:

Theoretically Medium Difficulty Problem

Start by factoring out the leading coefficient.
Next take the resulting coefficient in front of the term and dividing it by two.
Take the number from the previous hint and square it, adding and subtracting that number.
Complete the square on the following quadratic:

Theoretically Harder Difficulty Problem

Start by factoring out the leading coefficient - even if it doesn’t factor out nicely!
Next take the resulting coefficient in front of the term and dividing it by two.
Take the number from the previous hint and square it, adding and subtracting that number.
Complete the square on the following quadratic: