Question

Use the grouping method to factor this polynomial completely.
483 + 8x2 + 3x + 6

Answer 1

(4x² +3)(x +2)

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)