When the expression x2-3x-18 is factored completely, which is one of its factors?

(x+3) and (x-6) are factors

Step-by-step explanation:

The given expression is :

x²-3x-18

We need to find the factors of the above expression.

We can solve it using middle term splitting. We find two integers such that there product is -18 and sum is -3. These two numbers can be -6 and 3.

x²-3x-18 = x²-6x+3x-18

= x(x-6)+3(x-6)  [taking common terms]

= (x+3) (x-6)

Hence, the factors of the above expression is (x+3) and (x-6).