Need an example fill out please :)

Hello

The math problems im gonna post below may be below most of you but i missed a few days of shcool so i didn't lear how to solve these equations. the teacher let me copy down what they were but she didn't have time to teach me them before the hilidays so i was hoping someone could kinda explain what they are doing when solving them correctly. This would be a big help as i do have to write a test on equations like these in the new year.

Thanks

Communication Equatuions:

Example 1:

Write a quadratic equation whose roots are -2 and 3. is it possible to write more then one equation? Explain

Example 2:

Can x(x-3)=0 be solved by dividing both sides of the equation by x? explain

Example 3:

If the product of two factors is zero, what must be true of the factors.