Use the grouping method to factor this polynomial completely.

483 + 8x2 + 3x + 6

(4x² + 3) (x + 2)

Step-by-step explanation:

4x³ + 8x² + 3x + 6 = (4x³ + 8x²) + (3x + 6)

= 4x² (x + 2) + 3 (x + 2)

= (4x² + 3) (x + 2)

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We assume you want real integers in the factors. Further factoring gets into complex irrational factors.

(2x - i√3) (2x + i√3) (x + 2)