2(x^2 +2x + 3)
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You would factor 2x2 + 7x + 6 into (2x + 3) (x+2)
(x+4) (x+6)
x2 + 4x + 6 can not be factored. If you want, you can reduce it to an expression with a single x term by comleting the square: x2 + 4x + 6 = x2 + 4x + 4 + 2 = (x + 2)2 + 2
x3 + 2x2 + 3x + 6 = x2(x + 2) + 3(x + 2) = (x + 2)(x2 + 3)
(4x + 6)(4x - 6)