Question

What are the zeros of the function below?

f(x) = x(x-1)(x+11)/(x+12)(x-13)
a. 0,1, and -11
b. 0, -1, and 11
c. 13 and -12
d. -13 and 12

Answer 1

When you want to find zeros of rational expression you need to find at which points numerator is equal to zero. In this case, we have the product of three expressions.

`x(x-1)(x+11)=0`
A product is equal to zero whenever one of the factors is equal to zero.
That means that zeros of our functions are:
1)
`x=0`
2)
`x-1=0`

`x=1`
3)
`x+11=0`

`x=-11`
The final answer is a. Function has zeros at (0, 1, -11).