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?

a.(1,0). (4,0), (7,0)
b.(-1,0).(-4,0), (-7,0)
c.(1,0), (4,0), (-7,0)
d.(-1,0), (-4,0), (7,0)​

Answer 1

C. (1 , 0) (4, 0) ( -7, 0)

Explanation:

Just took the test

Answer 2

X - intercepts are also known as zeros. To solve this simply take each factor of the polynomial and set it equal to zero. Solve for x then you'll have your x - value of the x intercept.

x - 1 = 0

x - 1 +1 = 0 + 1

x = 1

x - 4 = 0

x - 4 + 4 =0 +4

x = 4

x + 7 = 0

x + 7 - 7 = 0 - 7

x = -7

^^^All the above are the x values of the x - intercepts

The answer is...

C. (1 , 0) (4, 0) ( -7, 0)

Hope this helped!

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