Respuesta :
Answer:
-6
Step-by-step explanation
The GCF for this problem that gives you 10 is 6 and 4
(x^2+6x) (4x+24)
You can factor out a x from the first equation and a 4 from the 2nd, giving you
(x+4) (x+6)
To solve these, you need to make 0. This means you need to subtract 4 from the first and subtract 6 from the 2. The largest is -6.
Greater root of the given equation will be x = -4
Factor the equation for the roots:
x² + 10x + 24 = 0
x² + 6x + 4x + 24 = 0
x(x + 6) + 4(x + 6) = 0
(x + 6)(x + 4) = 0
x = -6, -4
Since, -4 > -6 value of the greater root will be x = -4.
Find out more information about the factorization here,
https://brainly.com/question/3658560?referrer=searchResults
