Algebra-1

To factor the polynomial 5x³ + 10x² + 15x + 30 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (5x³ + 10x²) + (15x + 30)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 5x²: 5x²(x + 2).
In the second group, we can factor out 15: 15(x + 2).

Now, we have: 5x²(x + 2) + 15(x + 2)