Answer
(x + 3)(2x - 1)
Work Step by Step
In this question, factoring is done by the grouping method
2$x^{2}$ + 5x - 3
= 2$x^{2}$ + 6x - x - 3
= 2x(x + 3)-1(x + 3)
=(x + 3)(2x - 1)
2$x^{2}$ + 5x - 3 is a composite polynomial
(x + 3) and (2x - 1) are prime polynomials
