Algebra-1

To factor the polynomial y³ + y² + y + 1 using the factor by grouping method, let's follow these steps:

Step 1: Group the terms: (y³ + y²) + (y + 1)

Step 2: Factor out the common factor from each group:
In the first group, we can factor out y²: y²(y + 1).
In the second group, there is no common factor: (y + 1).

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