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. the point (0, c) lies on the graph of f(x)
○c. x-c is a factor of f(x)
○d. x+c divides evenly into f(x)

C.

Step-by-step explanation:

If f(c)=0 then (c,0) is on the graph.

In general, if f(a)=b then (a,b) is on the graph.

By factor theorem if f(c)=0 then x-c is a factor.

If x-c is a factor then x-c will divide f(x) evenly.  We know this because the remainder will be 0 because we know x-c is a factor of f.

The only choice that I have said in this whole thing that is true is C.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d