113k views
0 votes
If 5 and (5+ square root 5) are two of the

roots of a third degree polynomial with integer coefficients, what is the other root?

User Rafer
by
7.5k points

1 Answer

3 votes

Answer:

5 -
√(5)

Explanation:

a polynomial of degree 3 has 3 roots

radical roots occur in conjugate pairs.

given 5 +
√(5) is a root then 5 -
√(5) is also a root.

the 3 roots are therefore

x = 5 and x = 5 ±
√(5)

User Ankit Jayaswal
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories