If (x - 5) is a factor of f (x), which of the following must be true?

O A root of f (x) is x = - 5.

O A root of f (x) is x = 5.

O Both x = - 5 and x = 5 are rots of f (x).

O Neither x = - 5 nor x = 5 is a root of f (x).

Question

Mathematics

Aryn

12 September, 15:44

If (x - 5) is a factor of f (x), which of the following must be true?

O A root of f (x) is x = - 5.

O A root of f (x) is x = 5.

O Both x = - 5 and x = 5 are rots of f (x).

O Neither x = - 5 nor x = 5 is a root of f (x).

+2

Answers (2)

Know the Answer?

Rebecca Olson · Answer 1

Rebecca Olson 12 September, 16:09

0

The second choice is true.

Landen Pugh · Answer 2

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.

If (x - 5) is a factor of f (x), which of the following must be true?O A root of f (x) is x = - 5.O A root of f (x) is x = 5.O Both x = - 5 and x = 5 are rots of f (x).O Neither x = - 5 nor x = 5 is a root of f (x).

If (x - 5) is a factor of f (x), which of the following must be true?

O A root of f (x) is x = - 5.

O A root of f (x) is x = 5.

O Both x = - 5 and x = 5 are rots of f (x).

O Neither x = - 5 nor x = 5 is a root of f (x).