X^2-5x-6

Please show some work

The answer to your question is  ( x - 6)(x + 1)  

Step-by-step explanation:

Factor                x² - 5x - 6

To find the roots of this equation,

1.- First find the prime factors of the last term (6)

                          6  2

                          3  3

                           1

          6 = 2 x 3 x 1

2.- Find two numbers that added gives -5 using the prime factors

             These numbers are  -6 + 1

3.- Factor the equation

-Open two sets of parentheses and write the square root of the first term on both parentheses.

-Next, write the numbers you found.

                         ( x - 6)(x + 1)