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Ans: To get the factors of the equation x2-2x-8, we need to split the factors by the middle digit, which is 2x. the factors of 2x are:
2x = – 4x + 2x
Hence, the equation x2-2x-8 is now written as:
x2 – 4x + 2x – 8.
Selecting the x common from the primary two term and 2 common from secondary two terms. The equation is now:
x (x + 4) – 2 (x + 4)
= (x – 2) (x + 4)
Therefore, after factorisation we get the factors of equation x2-2x-8 as (x – 2) (x + 4).
