2. Fill in the blanks to write the factored form of \( y^{2}+11 y+28 \). \( 2(y+\square)(y+\square) \)

To factor the quadratic expression \( y^{2} + 11y + 28 \), we look for two numbers that multiply to **28** (the constant term) and add up to **11** (the coefficient of the middle term). 1. **Identify the numbers:** - The numbers **4** and **7** satisfy these conditions because: - \( 4 \times 7 = 28 \) - \( 4 + 7 = 11 \) 2. **Write the factored form:** - Using these numbers, the factored form of the quadratic is: \[ (y + 4)(y + 7) \] **Note:** The expression does not require a leading coefficient of 2. Therefore, the correct factored form is: \[ (y + 4)(y + 7) \]