Factor completely relative to the integers. x2 + 6x - 5x - 30

x² + 6x - 5x - 30 = (x-5) (x+6)

Step-by-step explanation:

x² + 6x - 5x - 30=x²+x-30

delta=1-4 (-30) = 1+120=121=11²

Sqrt (delta) = 11

The roots are:

x1,2 = (-1 + - 11) / 2

Thus we get

x1 = (-1+11) / 2=10/2=5

x2 = (-1-11) / 2=-12/2=-6

Finally:

x² + 6x - 5x - 30 = (x-5) (x+6)