Final answer:
To factor the polynomial 6z³ + 6z² + 5z + 5, you can use the grouping method.
Step-by-step explanation:
To factor the polynomial 6z³ + 6z² + 5z + 5, we can look for common factors and then use the grouping method.
Step 1: Find the greatest common factor (GCF) of the coefficients. In this case, the GCF is 1.
Step 2: Group the terms in pairs. We can group the first two terms and the last two terms: (6z³ + 6z²) + (5z + 5).
Step 3: Factor out the GCF from each group: 6z²(z + 1) + 5(z + 1).
Step 4: Notice that both groups have a common factor of (z + 1). Factoring it out, we get: (z + 1)(6z² + 5).