Question

Sophia was solving the following quadratic equation by factoring: x^2−8x−20=0
. Which choice shows the correctly factored form of this equation?

(1 point)
Responses

(x−10)(x+2)=0
open paren x minus 10 close paren times open paren x plus 2 close paren is equal to 0

(x−10)(x−2)=0
open paren x minus 10 close paren times open paren x minus 2 close paren is equal to 0

(x−5)(x+4)=0
open paren x minus 5 close paren times open paren x plus 4 close paren is equal to 0

(x−5)(x−4)=0
open paren x minus 5 close paren times open paren x minus 4 close paren is equal to 0

Answer 1

(x−10)(x+2)=0

Because −10 and +2 multiply to −20 and add to −8, so x^2−8x−20 = (x−10)(x+2).