Answer:
[tex](x - 2)(x + 3)[/tex]
Step-by-step explanation:
The given polynomial is
[tex] {x}^{2} - x - 6[/tex]
The factors of -6 that sums up to -1 are -3,2.
We split the middle term to obtain:
[tex] {x}^{2} -3 x + 2x - 6[/tex]
We factor to get:
[tex]x(x - 3) + 2(x - 3)[/tex]
We factor further to get:
[tex](x - 3)(x + 2)[/tex]
The polynomial is equivalent to:
[tex](x - 3)( x + 2)[/tex]
