Question

A polynomial function can be written as (x + 2)(x + 3)(x − 5). What are the x-intercepts of the graph of this function? (4 points)

Answer 1

The x-intercepts are your zeros of the function. It is every place where x is equal to zero. Which means for every parentheses, we need to equal x to 0 using an equation. After that, we just solve for x

x + 2 = 0

-2 -2

x= -2

x +3 = 0

-3 -3

x= -3

x-5 = 0

+5 +5

x= 5

So your x-intercepts are: -2, -3, 5