Question 230315
How do you factor 2y^2 + 5y + 2?
--------------------------
AC = 2*2 = 4
B = 5
---------------
Think of two numbers whose product is AC=4 and whose sum is B=5
Ans: 4 and 1
-----------------
Replace 5y by 4y+y in the original equation:
2y^2 + 4y + y + 2
---
Factor the 1st 2 and the last two terms separately:
2y(y+2) + (y+2)
Factor again to get the final answer:
(y+2)(2y+1)
==================
Cheers,
Stan H.