Factorise x2 - 2x - 8.
The factors of the above equation will be in the form of (x + a) (x - b).
Answer: The factors of x2 - 2x - 8 are (x + 4) and (x - 2)
Here's is the explanation to factorise x2 - 2x - 8.
To find the factors of x2 - 2x - 8 we need to split the middle term i.e - 2x.
2x = - 4x + 2x
Therefore, x2 - 2x - 8 can be written as x2 - 4x + 2x - 8.
On taking 'x' common from first two terms and 2 from next two terms we get
x (x + 4) - 2 (x + 4)
= (x - 2) (x + 4)
Thus, the factors of x2 - 2x - 8 are (x - 2) and (x + 4).