x2 + 3x + 2 factors into (x + 1) (x + 2)
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Multiply out the factors and then you can check: (x + 2)(x + 3) = x² + 3x + 2x + 6 = x² + 5x + 6 ≠ x² + 3x + 4 Therefore False.
That factors to (x + 5)(3x + 2)
20x2 - 3x + 10 does not have any real factors.
(2x + 7)(x - 2)
As written, that's 3x^3 - 12x which factors to 3x(x - 2)(x + 2)