Question

If (x – 5) is a factor of f(x), which of the following must be true? A)A root of f(x) is x = –5. B)A root of f(x) is x = 5. C)Both x = –5 and x = 5 are roots of f(x). D)Neither x = –5 nor x = 5 is a root of f(x).

Answer 1

B) A root of f(x) is x = 5.
iff(x)=(x−5)×something then f(5)=(5−5)×something i.e. f(5)=0
since f(5)=0 we say " a root of f(x) is 5"
hope this helps, can i get brainliest please??

Answer 2

Answer:

B) A root of f(x) is x = 5

Step-by-step explanation:

The statement (x-5) is a factor of f(x) means that the function f(x) has at least the following form:

$f(x)=x-5$

Now, the root of a function refers to the intercepts on the x-axis, or, in other words, when $f(x)=0$

According to the previous...

$0=x-5$

The x value is find

$x=5$

So, a root of f(x) is x=5