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
3.8k 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
4.3k points