The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and in the denominator.

So the quotient of has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

Factorizing the expressions we have

Cancelling out the like factors, (x -1) and (x - 2), we have

=

So the quotient of has (x + 3)² in the numerator and (x + 5)² in the denominator.