Verified answer

6x³ + 4x² - 3x - 2 = 2x²*(3x + 2) - (3x + 2) = (3x + 2)*(2x² - 1)

(2x² - 1)*(3x + 2)/(3x + 2) = 2x² - 1 e resto = 0

pronto

6x³+ 4x²- 3x- 2 ¨¨¨¨¨¨¨¨¨¨/__3x + 2__

-6x³ - 4x²¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨ 2x² - 1

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///////////// -3x - 2

//////////// +3x +2

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///////////// 0 //////////