peincess9118 peincess9118
  • 19-01-2021
  • Mathematics
contestada

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

Respuesta :

Muscardinus Muscardinus
  • 20-01-2021

Answer:

(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).

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