Algebra-1

To factor the polynomial 4x²y + 12xy + 8x + 24, let's follow the factor by grouping method:

Step 1: Group the terms: (4x²y + 12xy) + (8x + 24)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 4xy: 4xy(x + 3).
In the second group, we can factor out 8: 8(x + 3).

Now, we have: 4xy(x + 3) + 8(x + 3)

Step 3:...