Respuesta :
Answer: x = - 6 or - 20
Step-by-step explanation:
x^2 + 26x + 120 = 0
factorizing
x^2 + 20x + 6x + 120 = 0
x ( x + 20) + 6 (x + 20) = 0
x + 6 = 0 or x + 20 = 0
x = - 6 or x = - 20
Step-by-step explanation:
Our expression:
[tex](1)x^{2} +26x+120[/tex]
There's no GCF to factor the expression, we'll have to use the AC method.
*To factor, let's break down the expression and set it to multiply a binomial by another binomial.
Using the AC method to factor the trinomial:
Use 6 and 20 to represent 120, and the coefficient 26x.
2 x's to represent x squared.
[tex](x+6)(x+20)[/tex]