Question

What is the difference between a question asking you to factor a quadratic equation completely and a question asking you to solve a quadratic equation by factoring

Answer 1

Both mean to factor, I've never heard of a difference

Answer 2

Asking you to solve it completely is asking you to find the roots of the polynomial, so for example if (x-7)(x+0) is the solution then 7 and 0 is finding the complete answer but just the parantheses answer is factoring. Basically if you just factor, you dont include the roots or solutions, If it asks to solve completely, then find the roots or solutions. 

Hope this helped you out!