To factor the polynomial 3x³ + 6x² + 9x + 18 using the factor by grouping method, let's follow these steps:
Step 1: Group the terms: (3x³ + 6x²) + (9x + 18)
Step 2: Factor out the common factor from each group:
In the first group, we can factor out 3x²: 3x²(x + 2).
In the second group, we can factor out 9: 9(x + 2).
Now, we have:
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