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(x²-7x+10)/(x-5) see the solution

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Roseanncuaid
x²-7x+10                  first is x² divide x=x,X x X=x²,x(-5)=-5x,
------------                 x²-7x+10 second is -2x divide x=-2,(-2)x=-2x,(-2)(-5)=+10
x-5                (+)-   -x²+5x
                                  -2x+10
                           (+)- +2x-10
                                     0

the answer is x²-2x