Final answer:
After factoring out the greatest common factor of y from the expression, the remaining factor is a quadratic expression, which can be further factored into (x - 6)(x + 4).
Step-by-step explanation:
The expression x2y - 2xy - 24y can be factored by factoring out the greatest common factor (GCF), which in this case is y. After factoring out the GCF, you will be left with x^2 - 2x - 24, which is a quadratic expression. To factor this quadratic expression, we look for two integers whose product is -24 and whose sum is -2. These integers are -6 and +4, so the factored form of the quadratic expression is (x - 6)(x + 4). Therefore, after the common factor of y is removed, the remaining factor is a quadratic expression.