11.9k views
4 votes
If the zeros of a polynomial function are 4, -2, and 6+9i. Then does the polynomial have 3 zeros total?

If the zeros of a polynomial function are 4, -2, and 6+9i. Then does the polynomial-example-1
User RONOLULU
by
7.6k points

1 Answer

2 votes

Answer:

False

Step-by-step explanation:

If a polynomial has a complex root like 6 + 9i, then the conjugate of this number is also a root. So, in this case, 6 - 9i is also a root of the polynomial. So, the polynomial function has more than 3 zeros and the statement is False.

User Trkoch
by
8.2k 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