If f(c) = 0, which of the following statements must be true?

a. the point (c,0) lies on the graph of f(x)
b. x - c is a factor of f(x).
c. c is a 0 for f(x).
d. all three statements are true.

The statement that is correct is:

           Option: D

  D. All three statements are true.

if f(c)=0

Since, f(x) could be written in the form of : (x-c)g(x)

where g(x) is a function that is the quotient obtained on dividing f(x) by (x-c).

Hence, all the three given statements are correct.

a

step-by-step explanation:

its wrong