Question

Iffle) = 0, which of the following statements must be true? O A All three statements are true O B. The point (CO) lies on the graph of flx). O c.x-cis a factor of f(x) O D. cis a 0 for fb).

Answer 1

Given,

f(c) = 0

Let's check all the choices,

• B. The point (c,0) lies on the graph of f(x).

This is true since plugging in "c" into the function yields "0".

• C. x - c is a factor of f(x).

Since the value "c" yields "0" as an output, we can say that x - c is a factor of the function.

D. c is a 0 for f(x).

This is true. Since an input of "c" yields "0" as an output, this is known as a zero of the function.

All three statements, B, C, and D, are true.

A is the correct answer.