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Phantasy [73]
3 years ago
10

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

Mathematics
2 answers:
Maksim231197 [3]3 years ago
5 0

Answer:

  • (x - (3 - √5))

Step-by-step explanation:

<u>If there are roots:</u>

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

<u>So we would have factors of:</u>

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

Correct choice including the third factor is B

Scorpion4ik [409]3 years ago
4 0

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, <u>Correct choice</u> - [B]

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