Algebra-1

To factor the polynomial 9y³ + 27y² + y + 3 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (9y³ + 27y²) + (y + 3)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 9y²: 9y²(y + 3).
In the second group, there is no common factor: (y + 3).

Now, we have: 9y²(y + 3) + (y + 3)

Step 3: Notice that (