Question

Factor completely 2x2 + 28x + 96.

Answer 1

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 :)

Answer 2

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)