Algebra-1

To factor the polynomial 6x²y + 15xy + 12x + 30, let's follow the factor by grouping method:

Step 1: Group the terms: (6x²y + 15xy) + (12x + 30)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 3xy: 3xy(2x + 5).
In the second group, we can factor out 6: 6(2x + 5).

Now, we have: 3xy(2x + 5) + 6(2x + 5)

Step 3: Notice that (2x + 5