Answer:
x^2 + -9 x + 18 = (x - 9) x + 18 = (x - 6) (x - 3) all three are alternanate forms.
Explanation:
Expand the following:
(x - 6) (x - 3)
Hint: | Multiply x - 6 and x - 3 together using FOIL.
(x - 6) (x - 3) = (x) (x) + (x) (-3) + (-6) (x) + (-6) (-3):
x x - 3 x - 6 x - 6 (-3)
Hint: | Combine products of like terms.
x x = x^2:
x^2 - 3 x - 6 x - 6 (-3)
Hint: | Multiply -6 and -3 together.
-6 (-3) = 18:
x^2 - 3 x - 6 x + 18
Hint: | Group like terms in x^2 - 3 x - 6 x + 18.
Grouping like terms, x^2 - 3 x - 6 x + 18 = x^2 + (-3 x - 6 x) + 18:
x^2 + (-3 x - 6 x) + 18
Hint: | Combine like terms in -3 x - 6 x.
-3 x - 6 x = -9 x:
Answer: x^2 + -9 x + 18 = (x - 9) x + 18 =(x - 6) (x - 3)