EXPLANATION
The zeros of a function are all the possible values of x wich makes y=0.
Plugging in -1 into the function:
[tex]y=-(-1)^3+(-1)^2+2\cdot(-1)[/tex][tex]y=1+1-2[/tex]Adding numbers:
[tex]y=2-2=0[/tex]-1 is a zero of the function.
Let's try with 2:
[tex]y(2)=-(2)^3+(2)^2+2(2)[/tex][tex]y(2)=-8+4+4[/tex][tex]y(2)=0[/tex]Applying the same reasoning to x= -2:
[tex]y(-2)=_{}-(-2)^3+(-2)^2+2(-2)[/tex][tex]y(-2)=8+4-4=12-4=8[/tex]
In conclusion, the value x=-2 is not a zero of the function.
