Factoring: The answer would be in multiplication form.
Example: x²+7x+12=0 is the same as (x+3)(x+4)
Solving: The answer would be what the unknown variable is equal too.
Example: x²+7x+12=0 is the same as x=-3 or X=-4
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It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.
(k + 1)(k - 5)= 0
By knowing how to use the quadratic equation formula.
Yes, simply treat the middle coefficient as 0.
trial & error is a general method of problem solving, fixing things, or for obtaining knowledge.