Answer:
(x+3)(2x+1)
Explanation:
2x^2 + 7x + 3
1st step) Multiply the 2 from 2x^2 with the 3
2nd step) Then when you get x^2 + 7x + 6, find the factors of 6 that add up to the 7 from 7x.
3rd step) The factors that add up to the 7 from 7x are 6 and 1. - these factors can be represented as (x+6)(x+1).
4th step) After this, since you multiplied the 2 from 2x^2 with the 3(shown in the first step), you must divide each each factor by the 2 from 2x^2.
5th step) Finally, you should get (x+3)(2x+1). - when dividing 1 and 2, the denominator(2) should be next to/multiply with x, and when dividing the numerator(6) and the 2 from 2x^2 together, you should get x+3 since 6 divided by 2 is 3.