163k views
0 votes
How many roots, including complex roots, does the function represented by the polynomial

4z3+3z + 3 have?
A) 4
B) 2
C) 1

User Siera
by
8.1k points

1 Answer

3 votes

Final answer:

The polynomial
4z^3 + 3z + 3 has 3 roots, including real and complex roots, according to the Fundamental Theorem of Algebra.

Step-by-step explanation:

The polynomial given is
4z^3 + 3z + 3. According to the Fundamental Theorem of Algebra, every non-constant single-variable polynomial with complex coefficients has as many complex roots as its degree, counting each root up to its multiplicity. Thus, the cubic polynomial given would have 3 roots, including real roots and complex roots (if any).

User Turtles Are Cute
by
8.7k points

Related questions

1 answer
0 votes
8.7k views
asked Mar 22, 2016 148k views
Joe Stefanelli asked Mar 22, 2016
by Joe Stefanelli
8.2k points
2 answers
2 votes
148k views
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