## Algebra: A Combined Approach (4th Edition)

$2x^{2}$ + 5x + 3 factors as (2x + 3) (x + 1).
First factor of $2x^{2}$ + 5x + 3 has been given $\rightarrow$ (2x + 3). Thus, the other factor's first term should be x since the first term in the trinomial is $2x^{2}$. Note 2x(x) = $2x^{2}$. Also, the last term of the trinomial is 3. This means that 1 should be multiplied to the "3" in (2x + 3) to yield the last term in the trinomial. Thus the other factor is (x + 1).