we have the function
[tex]y=\frac{x^2+7x+10}{x+3}[/tex]Remember that
The zeros of the function, are the values of x when the value of y=0
so
For y=0
[tex]x^2+7x+10=0[/tex]Solve the quadratic equation
we have that
x^2+7x+10=(x+5)(x+2)
therefore
the zeros of the function are