Question

A polynomial function can be written as (x − 1)(x − 4)(x + 7). What are the x-intercepts of the graph of this function? (4 points) (1, 0), (4, 0), (7, 0) (−1, 0), (−4, 0), (−7, 0) (1, 0), (4, 0), (−7, 0) (−1, 0), (−4, 0), (7, 0)

Answer 1

+ 1 + 4 -7

Explanation:

when they ask for x intercepts you simply have to set the function to 0 and then solve for x or in other words just reverse the number for example. here we have -1 -4 and +7 so just reverse the negative and positive signs

Answer 2

Option C is correct.

Explanation:

The x-intercepts of the function (x − 1)(x − 4)(x + 7) can be found by putting this function equal to zero

(x − 1)(x − 4)(x + 7) = 0

Now,

x-1 = 0

x-4 = 0

and x+7 = 0

Now finding the values of x

x-1 = 0 + 1

x - 1 + 1 = 1

=> x = 1

or (1,0)

x - 4 = 0

x -4 + 4 = 0 + 4

x = 4

or (4,0)

x + 7 = 0

x +7 -7 = 0 -7

x = -7

or (-7,0)

SO, the x-intercepts of the function (x − 1)(x − 4)(x + 7) are (1,0),(4,0) and (-7,0)

Option C is correct.