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]