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factor by grouping. 4y^3+3y^2+8y+6 square

Question

Factor by grouping. 4y^3+3y^2+8y+6 square

Solution

Verificación de expertos
4.7 (328 Votos)
Kaique Profissional · Tutor por 6 anos

Resposta

To factor the polynomial by grouping, follow these steps:1. **Group the terms**: Divide the polynomial into two groups. 2. **Factor out the greatest common factor (GCF) from each group**: - From the first group \((4y^3 + 3y^2)\), factor out : - From the second group \((8y + 6)\), factor out : 3. **Combine the factored groups**: Now we have: 4. **Factor out the common binomial factor \((4y + 3)\)**: So, the factored form of the polynomial is: