Chapter R - Section R.5 - Factoring Polynomials - R.5 Assess Your Understanding - Page 57: 55

$(x+2)(2x+3)$

Group the first two terms together; then, group the last two terms together to obtain: $=(2x^2+4x) + (3x+6)$ Factor out the GCF of each group ($2x$ in the first and $3$ in the second) $=2x(x+2) + 3(x+2)$ Factor out the GCF $(x+2)$ to obtain: $=(x+2)(2x+3)$