The discriminant is.....
b^2 - 4ac
(-2)^2 - 4(3)(3)
4 - 36 = - 32
Less than 1 so no real roots.
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The answer is (2x^2+3)(4x+1)
(2x-3)(x-1)
2x2+5x+3 = (2x+3)(x+1) when factored
(2x - 1)(x + 3)
8x3 + 4x2 + 6x + 3 = 4x2(2x + 1) + 3(2x + 1) = (2x + 1)(4x2 + 3)