If (x - 5) is a factor of f(x), which of the following must be true?
2 answers:
Answer:
A root of f(x) is x=5
Step-by-step explanation:
If (x-5) is a factor of f(x), then 5 is a root.
If (x+5) is a factor of f(x), then -5 is a root.
So we are only given that (x-5) is a factor of f(x), so we only know that x=5 is a root.
This is by factor theorem. It says if (x-c) is a factor then f(c)=0 which means c is a root of f(x) because it makes the expressions equal to 0.
The second choice is true.
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