Answer:
To find the quotient of the expression (x² + 3x + 2) / 6 ÷ (x + 2), we can simplify the expression by first dividing the numerator by the denominator, and then dividing the result by 6. This can be done using the following steps:
(x² + 3x + 2) / 6 ÷ (x + 2)
= (x² + 3x + 2) / 6 * 1 / (x + 2) (dividing by a fraction is the same as multiplying by its reciprocal)
= (x + 1) / 2 * 1 / (x + 2) (factoring the numerator)
= (x + 1) / (2(x + 2)) (simplifying the expression)
Therefore, the quotient of the expression (x² + 3x + 2) / 6 ÷ (x + 2) is (x + 1) / (2(x + 2)).