SOLUTION: 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 divides evenly into f(x). c. x-c is a factor of f(x). d. The

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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 divides evenly into f(x). c. x-c is a factor of f(x). d. The       Log On


   

Question 958491: 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 divides evenly into f(x).
c. x-c is a factor of f(x).
d. The point (0,c) lies on the graph of f(x).

(please help thank you, multiple choice question)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If f%28c%29=0,or f%28x%29=0=>x=c or x=-c
it means y-intercept is at the pointx%2C0, for some x=c or x=-c we have y=0;
so, answer is
a. The point (-c,0) lies on the graph of f%28x%29.