x2 + 3x + 28 can not be factored.
If on the other hand you meant to type:
x2 + 3x - 28
That can indeed be factored:
= x2 + 7x - 4x - 28
= x(x + 7) - 4(x + 7)
= (x - 4)(x + 7)
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x2 + 3x - 40 = (x + 8)(x - 5)
If you mean: x2+3x+2 then it is (x+1)(x+2) when factored
If you factor x2 - 3x - 10, you'll get (x-5) (x+2). If your equation is x2 - 3x -10 = 0, then x = 5, and x = -2.
x2 + 3x - 28 = x2 + 7x - 4x - 28 = x(x + 7) - 4(x + 7) = (x + 7)(x - 4)
(x - 3)(x2 + 3x + 9)