Which shows one way to determine the factors of x³ + 11x² + 3x + 33 by grouping?

To factor the polynomial x³ + 11x² + 3x + 33 by grouping, we can follow these steps:

1. First, we group the terms in pairs: (x³ + 11x²) + (3x + 33).
2. Next, we factor out the common factors from each group:
• From the first group (x³ + 11x²), we can factor out x²:
  x²(x + 11)
• From the second group (3x + 33), we can factor out 3:
  3(x + 11)
3. This gives us: x²(x + 11) + 3(x + 11).
4. Now, we can see that (x + 11) is a common factor in both terms:

(x + 11)(x² + 3)

So, the factored form of the polynomial x³ + 11x² + 3x + 33 by grouping is (x + 11)(x² + 3).