Question

The larger root of the equation (x+4)(x+3)=0 is
and why???

Answer 1

Break the problem down into (x+4)=0 and (x+3)=0
X+4=0 so you subtract 4 from each side giving you x=-4
X+3=0 subtracting 3 from each side giving you x=-3
-3 is larger than -4 because when dealing with negative numbers, you want to be as close to one because that means the number is bigger.
Therefore -3 is the larger root

Answer 2

`(x+4)(x+3)=0 \\ x+4=0 \ \lor \ x+3=0 \\ x=-4 \ \lor \ x=-3 \\ \\ -4 < -3 \\ \\ \hbox{the larger root} \Rightarrow \boxed{ -3}`