Question

If a polynomial function f(x) has roots 3 + sqrt5 and -6, what must be a factor of f(x)?

Answer 1

Answer:

• (x - (3 - √5))

Step-by-step explanation:

If there are roots:

• 3 + √5 and - 6, then another root should be 3 - √5

So we would have factors of:

• f(x) = (x - (3 - √5))(x -  (3 + √5))(x + 6)

Correct choice including the third factor is B

Answer 2

ANSWER:

As 3 + √5 & 6 are the roots of f(x).

So, the another root must be 3 - √5.

Then,

f(x) = (x - 3 + √5)(x - 3 - √5)(x + 6).

So, Correct choice - [B]