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)

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