When there is no x term with a higher power than 1. Once all x-terms have a power of 1 or below, the expression has been fully factorised.
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30x2-23x-14 = (6x-7)(5x+2) when factored with the help of the quadratic equation formula
[ x3 + 3x2 + 2x ] is a trinomial. It's factors are [ x, (x + 1), (x + 2) ] .
Yes. Consider the trinomial x2 + 2x + 4. It can be factored as (x+2)(x+2), that is to say, it has two identical factors of (x+2).
x2+14x+40 = (x+4)(x+10) when factored
a3-4a = a(a2-4) when factored