How do you factor x²-2x-8?

1 Answer
May 3, 2018

(x-4)(x+2)

Explanation:

x^2 - 2x - 8

To factor something, we should first make sure that it is in the form of ax^2 + bx + c to make it easier, which this expression is in.

Then, we have to find two numbers that:

  • Add up to b (or in this case, -2)
  • Multiply up to a * c (or in this case, 1 * -8 = -8

Those two numbers are -4 and 2:

  • -4 + 2 = -2
  • -4 * 2 = -8

Now we put them into factored form, which is: (x-4)(x+2).

Hope this helps!