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? (2, 0), (3, 0), (−5, 0) (−2, 0), (−3, 0), (5, 0) (2, 0), (3, 0), (5, 0) (−2, 0), (−3, 0), (−5, 0)

Answer 1

The x-intercepts of this function are: (-2,0), (-3,0), and(5,0)

Answer 2

Answer:

x intercepts are (-2,0) (-3,0) and (5,0)

Step-by-step explanation:

Given polynomial function is (x+2)(x+3)(x-5)

We need to find out x intercepts

To find x intercepts we set the polynomial function =0 and solve for x

(x+2)(x+3)(x-5) =0

We apply zero factor property. Set all the factors =0  and solve for x

x+2=0  , so x=-2

x+3 =0 , so x=-3

x-5=0, so x= 5

Now we write all the x  intercepts in ordered form (x,0)

(-2,0) (-3,0) and (5,0)