Factor by grouping: x^2 + 3x - 2x - 6.

1. Separate the four terms into two parts: (x squared + 3x) and (-2x - 6). 2. Factor x from the first part to get x(x + 3), and factor -2 from the second part to get -2(x + 3). 3. Be careful with the signs when factoring the GCF from the last two terms, since -2 must be pulled out, not 2. 4. Both parts share the factor (x + 3), so the expression factors to (x + 3)(x - 2). _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 7 "Factoring", section 7.1 Greatest Common Factor and Factor by Grouping_