Algebra-1

To factor the polynomial 3x³ + 9x² + 27x + 81 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (3x³ + 9x²) + (27x + 81)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out 3x²: 3x²(x + 3).
In the second group, we can factor out 27: 27(x + 3).

Now, we have: 3x²(x + 3) + 27(x + 3)

Step 3:...