Algebra-1

To factor the polynomial 2y³ + 4y² + 6y + 12 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (2y³ + 4y²) + (6y + 12)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2y²: 2y²(y + 2).
In the second group, we can factor out 6: 6(y + 2).

Now, we have: 2y²(y + 2) + 6(y + 2)

Step 3: Notice that (

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