We have,
2x2 + 5x + 3
The coefficient of x2 is 2
The coefficient of x is 5
Constant term is 3
We shall split up the center term i.e., 5 into two parts such that their sum p+q is 5 and product pq = 2 × 3 is 6
So, we express the middle term 5x as 2x + 3x
2x2 + 5x + 3 = 2x2 + 2x + 3x + 3
= 2x (x + 1) + 3 (x + 1)
= (2x + 3) (x + 1)
Answered by Aaryan | 1 year ago