AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. ____
Full solution
Q. Use the Fundamental Theorem of Algebra to find the number of complex roots of the polynomial, including any repeated roots. ____
- Find Highest Power: Look at the polynomial and find the highest power of . The highest power of is .
- Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree has exactly complex roots, counting multiplicities.So, a th-degree polynomial has complex roots.
- Number of Complex Roots: Therefore, the polynomial has complex roots.
