Factor 2x squared plus 5x plus 3?

2x2 + 5x + 3 Notice the first term, which can be rewritten as 2x times x. With this in mind, you can write the equation as...
(2x + a)(x + b)
...where -a and -b are the answers.
You know that a times b is equal to 3.
With a little trial and error, you will find:
2x2 + 5x + 3 = (2x + 3)(x + 1)