7y2 19y 6 is of the form ax2 + bx + c where a = 7, b = 19, c = 6
| Product = 42 | Sum = 19 |
| 1 42 = 42 | 1 + ( 42) = 41 |
| 2 21 = 42 | 2 + ( 21) = 19 |
The product a c = 7 6 = 42
sum b = 19
The middle term 19 y can be written as 21y + 2y
7y2 19y 6 = 7y2 21y + 2y 6
= 7y(y 3) + 2(y 3)
= (y 3)(7y + 2)
7y2 19y 6 = (y 3)(7y + 2)
