Respuesta :
Hi Kiara
2x²+28x+96
First thing you need to find the common factor
So the common factor is 2
2(x+6)(x+8)
I hope that's help:0
Why 2 is the common factor ?
Because we were looking for a number that can divide all of them at the same time without decimal, so that's why :)
Factor completely
2x^2 + 28x + 96
= 2(x^2 + 14x + 48)
= 2(x + a)(x + b)
find a,b that a+b=14, ab=48
let's try
a, b ... a+b
2,14 ... 18
4,12 ... 16
6,8 ... 14 *** found
2x^2 + 28x + 96 = 2(x + 6)(x + 8)
2x^2 + 28x + 96
= 2(x^2 + 14x + 48)
= 2(x + a)(x + b)
find a,b that a+b=14, ab=48
let's try
a, b ... a+b
2,14 ... 18
4,12 ... 16
6,8 ... 14 *** found
2x^2 + 28x + 96 = 2(x + 6)(x + 8)