Factor the following polynomial using the negative of the greatest commo \( -42 a^{3} b^{2}+35 a b \) Select the correct choice below and, if necessary, fill in the answer buxto A. \( -42 a^{3} b^{2}+35 a b \) - B. The polynomial cannot be factored.

To factor the polynomial \( -42 a^{3} b^{2} + 35 a b \) by factoring out the **negative of the greatest common factor (GCF)**, follow these steps: 1. **Identify the GCF:** - **Coefficients:** The GCF of 42 and 35 is **7**. - **Variables:** - For \( a^{3} \) and \( a \), the GCF is \( a \). - For \( b^{2} \) and \( b \), the GCF is \( b \). Therefore, the GCF is \( 7ab \). 2. **Factor out the Negative of the GCF:** - Since we need to factor out the **negative** of the GCF, we factor out \( -7ab \). 3. **Divide Each Term by \( -7ab \):** \[ -42 a^{3} b^{2} \div (-7ab) = 6a^{2}b \] \[ 35 a b \div (-7ab) = -5 \] 4. **Write the Factored Form:** \[ -42 a^{3} b^{2} + 35 a b = -7ab (6a^{2}b - 5) \] **Therefore, the correct factored form is:** **A.** \( -7 a b (6 a^{2} b - 5) \)