Question

Which of the following is NOT a zero of the function f(x) = -x^3 + x^2 + 2x?-1 0 2 -2

Answer 1

Step-by-step explanation

The zeros of a function are all the possible values of x wich makes y=0.

Plugging in -1 into the function:

`y=-(-1)^3+(-1)^2+2\cdot(-1)`
`y=1+1-2`

Adding numbers:

`y=2-2=0`

-1 is a zero of the function.

Let's try with 2:

`y(2)=-(2)^3+(2)^2+2(2)`
`y(2)=-8+4+4`
`y(2)=0`

Applying the same reasoning to x= -2:

`y(-2)=_{}-(-2)^3+(-2)^2+2(-2)`

`y(-2)=8+4-4=12-4=8`

In conclusion, the value x=-2 is not a zero of the function.