Factor 3x^2-4x-32 using factoring by grouping.

To factor the quadratic expression by grouping, we follow these steps:1. **Multiply the leading coefficient (3) by the constant term (-32):** 2. **Find two numbers that multiply to -96 and add up to the middle coefficient (-4):** The numbers are 8 and -12 because: 3. **Rewrite the middle term (-4x) using the two numbers found:** 4. **Group the terms in pairs:** 5. **Factor out the greatest common factor (GCF) from each pair:** 6. **Factor out the common binomial factor (3x + 8):** So, the factored form of is: