Completing the Square

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Complete the square and factor the result: x squared + 2x
Complete the square and factor the result: y squared minus 14y
Complete the square and factor the result: p squared + 4p
Complete the square and factor the result: x squared minus 6x
Complete the square and factor the result: c squared + 7c
Complete the square and factor the result: x squared minus x
Complete the square and factor the result: x squared + 1 fifth x
Complete the square and factor the result: x to the fourth + 8 x squared