Answer:
(x - 6)(x - 11)
Step-by-step explanation:
x² - 17x + 66
-11 and -6
x² -11x - 6x + 66
x(x -11) - 6(x -11)
(x - 6) (x - 11)
(x = 6 or x = 11) These are the possibilities of x
[tex] {x}^{2} - 17x + 66 \\ {x}^{2} - 11x - 6x + 66 \\ ( {x}^{2} - 11x) + ( - 6x + 66) \\ x(x - 11) + 6(x - 11) \\ (x - 11)(x + 6)[/tex]
