Algebra-1

To factor the polynomial 2x³ + 6x² + 8x + 24 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (2x³ + 6x²) + (8x + 24)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 2x²: 2x²(x + 3).
In the second group, we can factor out 8: 8(x + 3).

Now, we have: 2x²(x + 3) + 8(x + 3)