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 Polynomial Degree: Look at the polynomial: . What's the degree of the polynomial?The highest power of is , so the degree is .
- Fundamental Theorem of Algebra: According to the Fundamental Theorem of Algebra, a polynomial of degree has exactly complex roots, counting multiplicity.So, this polynomial will have complex roots.
