Answer:
(x -3)(x + 2)
Explanation:
Factorize by splitting the middle term:
x² - x - 6
Sum = - 1
Product = -6
Factors = (-3) , 2
When we add the factors (-3) and 2, we get (-1) and when we multiply the factors (-3) * 2, we get (-6).
Rewrite the middle term using the factors,
x² - x - 6 = x² - 3x + 2x - 6
Take out the common term 'x' from the first and second terms & also take out the common term 2 from the third and fourth term.
= x(x - 3) + 2(x - 3)
= (x - 3) (x + 2)