When we square something we just mean multiply that something by itself. In this case the "something" being squared is (x-2). So, (x-2)^2 is the same thing as (x-2)(x-2). Put another way, (x-2)^2 is already in factored form.
Thanks for all this video. For this last one, I get poor results with my HP-15C with my personnal quadratic solver program in it, I get no fractional roots, only numeric approximation X: 0.66667 and Y:-1.40000 making the final factorization a long path... I wonder how easy are complex roots finding with the Texas Instruments TI-36X Pro ?
In one of my videos I show complex roots, I believe. TI-36X Pro makes it easy -- same process as shown in this video. Only downside is that the TI only provides approximate answers. The Casio fx-991EX gives exact answers for quadratic roots -- it's better for this particular job.