Answer:
(2x + 3)(5x + 4)
Step-by-step explanation:
The given expression is
10x^2 + 23x + 12
This is a quadratic expression. In order to factorize, the first step is to multiply 10x^2 with 12. It becomes 120x^2. We would find two terms such that their sum or difference is 23x and their product is 120x^2. The terms are 15x and 8x. By replacing 23x with 15x + 8x, we have
10x^2 + 15x + 8x + 12
Factorize by grouping. It becomes
5x(2x + 3) + 4(2x + 3)
(2x + 3)(5x + 4)
The factors are (2x + 3) and (5x + 4)