Question

Factor the polynomial: x2−5x+6
𝑥
2
−
5
𝑥
+
6
(1 point)
Responses

(x−3)(x+2)
(
𝑥
−
3
)
(
𝑥
+
2
)

open paren x minus 3 close paren times open paren x plus 2 close paren

(x−3)(x−1)
(
𝑥
−
3
)
(
𝑥
−
1
)

open paren x minus 3 close paren times open paren x minus 1 close paren

(x−2)(x−3)
(
𝑥
−
2
)
(
𝑥
−
3
)

open paren x minus 2 close paren times open paren x minus 3 close paren

(x−2)(x+3)

Answer 1

(x−2)(x−3)

Because −2 and −3 multiply to +6 and add to −5, so x^2−5x+6 = (x−2)(x−3).